154849968 has 300 divisors, whose sum is σ = 560129328. Its totient is φ = 40435200.

The previous prime is 154849967. The next prime is 154849969. The reversal of 154849968 is 869948451.

154849968 is a `hidden beast` number, since 1 + 548 + 4 + 9 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (154849967) and next prime (154849969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (154849967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1533118 + ... + 1533218.

Almost surely, 2^154849968 is an apocalyptic number.

154849968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154849968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280064664).

154849968 is an abundant number, since it is smaller than the sum of its proper divisors (405279360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154849968 is a wasteful number, since it uses less digits than its factorization.

154849968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 154849968 is about 12443.8727090886. The cubic root of 154849968 is about 536.9951624045.

It can be divided in two parts, 15484 and 9968, that added together give a palindrome (25452).

The spelling of 154849968 in words is "one hundred fifty-four million, eight hundred forty-nine thousand, nine hundred sixty-eight".