146535648 has 192 divisors, whose sum is σ = 473776128. Its totient is φ = 38707200.

The previous prime is 146535647. The next prime is 146535659. The reversal of 146535648 is 846535641.

It is a super-2 number, since 2×146535648² = 42945392269559808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146535643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153761 + ... + 1153887.

It is an arithmetic number, because the mean of its divisors is an integer number (2467584).

Almost surely, 2^146535648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236888064).

146535648 is an abundant number, since it is smaller than the sum of its proper divisors (327240480).

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

146535648 is a wasteful number, since it uses less digits than its factorization.

146535648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 146535648 is about 12105.1909526451. The cubic root of 146535648 is about 527.2069130984.

It can be divided in two parts, 14653 and 5648, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 146535648 in words is "one hundred forty-six million, five hundred thirty-five thousand, six hundred forty-eight".