151151616 has 352 divisors, whose sum is σ = 565954560. Its totient is φ = 38707200.

The previous prime is 151151603. The next prime is 151151639. The reversal of 151151616 is 616151151.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×151151616² = 45693622038822912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 151151616.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128861 + ... + 2128931.

Almost surely, 2^151151616 is an apocalyptic number.

151151616 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 151151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282977280).

151151616 is an abundant number, since it is smaller than the sum of its proper divisors (414802944).

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

151151616 is a wasteful number, since it uses less digits than its factorization.

151151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its digits is 900, while the sum is 27.

The square root of 151151616 is about 12294.3733471861. The cubic root of 151151616 is about 532.6855691269.

The spelling of 151151616 in words is "one hundred fifty-one million, one hundred fifty-one thousand, six hundred sixteen".