151816896 has 336 divisors, whose sum is σ = 569854080. Its totient is φ = 39191040.

The previous prime is 151816879. The next prime is 151816913. The reversal of 151816896 is 698618151.

It is an interprime number because it is at equal distance from previous prime (151816879) and next prime (151816913).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×151816896² = 46096739822149632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931311 + ... + 931473.

Almost surely, 2^151816896 is an apocalyptic number.

151816896 is a gapful number since it is divisible by the number (16) 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 151816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284927040).

151816896 is an abundant number, since it is smaller than the sum of its proper divisors (418037184).

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

151816896 is a wasteful number, since it uses less digits than its factorization.

151816896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 151816896 is about 12321.3999204636. The cubic root of 151816896 is about 533.4659475781.

The spelling of 151816896 in words is "one hundred fifty-one million, eight hundred sixteen thousand, eight hundred ninety-six".