151908000 has 96 divisors (see below), whose sum is σ = 497689920. Its totient is φ = 40505600.

The previous prime is 151907999. The next prime is 151908037. The reversal of 151908000 is 809151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5671 + ... + 18329.

It is an arithmetic number, because the mean of its divisors is an integer number (5184270).

Almost surely, 2^151908000 is an apocalyptic number.

151908000 is a gapful number since it is divisible by the number (10) 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 151908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248844960).

151908000 is an abundant number, since it is smaller than the sum of its proper divisors (345781920).

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

151908000 is a wasteful number, since it uses less digits than its factorization.

151908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12669 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 151908000 is about 12325.0963485078. The cubic root of 151908000 is about 533.5726356665.

The spelling of 151908000 in words is "one hundred fifty-one million, nine hundred eight thousand".