151413760 has 44 divisors (see below), whose sum is σ = 363227868. Its totient is φ = 60563456.

The previous prime is 151413751. The next prime is 151413791. The reversal of 151413760 is 67314151.

It can be written as a sum of positive squares in 2 ways, for example, as 35808256 + 115605504 = 5984^2 + 10752^2 .

It is a super-2 number, since 2×151413760² = 45852253434675200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9667 + ... + 19906.

Almost surely, 2^151413760 is an apocalyptic number.

151413760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151413760 is an abundant number, since it is smaller than the sum of its proper divisors (211814108).

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

151413760 is an equidigital number, since it uses as much as digits as its factorization.

151413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29598 (or 29580 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 151413760 is about 12305.0298658719. The cubic root of 151413760 is about 532.9933388587.

The spelling of 151413760 in words is "one hundred fifty-one million, four hundred thirteen thousand, seven hundred sixty".