151153920 has 108 divisors (see below), whose sum is σ = 523016676. Its totient is φ = 40304640.

The previous prime is 151153903. The next prime is 151153931. The reversal of 151153920 is 29351151.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 114575616 = 6048^2 + 10704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4960 + ... + 18080.

It is an arithmetic number, because the mean of its divisors is an integer number (4842747).

Almost surely, 2^151153920 is an apocalyptic number.

151153920 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 151153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261508338).

151153920 is an abundant number, since it is smaller than the sum of its proper divisors (371862756).

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

151153920 is a wasteful number, since it uses less digits than its factorization.

151153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 151153920 is about 12294.4670482295. The cubic root of 151153920 is about 532.6882756838.

The spelling of 151153920 in words is "one hundred fifty-one million, one hundred fifty-three thousand, nine hundred twenty".