151627161920 has 112 divisors (see below), whose sum is σ = 392404671120. Its totient is φ = 55471620096.

The previous prime is 151627161893. The next prime is 151627161937. The reversal of 151627161920 is 29161726151.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1032256 + 151626129664 = 1016^2 + 389392^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286244 + ... + 620636.

It is an arithmetic number, because the mean of its divisors is an integer number (3503613135).

Almost surely, 2^151627161920 is an apocalyptic number.

151627161920 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 151627161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196202335560).

151627161920 is an abundant number, since it is smaller than the sum of its proper divisors (240777509200).

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

151627161920 is a wasteful number, since it uses less digits than its factorization.

151627161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334532 (or 334522 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The spelling of 151627161920 in words is "one hundred fifty-one billion, six hundred twenty-seven million, one hundred sixty-one thousand, nine hundred twenty".