151957680 has 160 divisors (see below), whose sum is σ = 557107200. Its totient is φ = 33524736.

The previous prime is 151957669. The next prime is 151957693. The reversal of 151957680 is 86759151.

It is a super-2 number, since 2×151957680² = 46182273021964800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47161 + ... + 50279.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^151957680 is an apocalyptic number.

151957680 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 151957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

151957680 is an abundant number, since it is smaller than the sum of its proper divisors (405149520).

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

151957680 is a wasteful number, since it uses less digits than its factorization.

151957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 151957680 is about 12327.1115838221. Note that the first 3 decimals coincide. The cubic root of 151957680 is about 533.6307958673.

The spelling of 151957680 in words is "one hundred fifty-one million, nine hundred fifty-seven thousand, six hundred eighty".