151936896 has 64 divisors (see below), whose sum is σ = 421153920. Its totient is φ = 48440832.

The previous prime is 151936879. The next prime is 151936913. The reversal of 151936896 is 698639151.

It is an interprime number because it is at equal distance from previous prime (151936879) and next prime (151936913).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×151936896² = 46169640732229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 17433.

It is an arithmetic number, because the mean of its divisors is an integer number (6580530).

Almost surely, 2^151936896 is an apocalyptic number.

151936896 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 151936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210576960).

151936896 is an abundant number, since it is smaller than the sum of its proper divisors (269217024).

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

151936896 is a wasteful number, since it uses less digits than its factorization.

151936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17243 (or 17231 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 151936896 is about 12326.2685351245. The cubic root of 151936896 is about 533.6064656543.

The spelling of 151936896 in words is "one hundred fifty-one million, nine hundred thirty-six thousand, eight hundred ninety-six".