151165960540 has 96 divisors (see below), whose sum is σ = 364459616640. Its totient is φ = 51591438336.

The previous prime is 151165960523. The next prime is 151165960577. The reversal of 151165960540 is 45069561151.

It is a super-2 number, since 2×151165960540² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 48935316 + ... + 48938404.

It is an arithmetic number, because the mean of its divisors is an integer number (3796454340).

Almost surely, 2^151165960540 is an apocalyptic number.

151165960540 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 151165960540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182229808320).

151165960540 is an abundant number, since it is smaller than the sum of its proper divisors (213293656100).

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

151165960540 is a wasteful number, since it uses less digits than its factorization.

With its successor (151165960541) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4589).

With its predecessor (151165960539) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4589).

151165960540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 151165960540 in words is "one hundred fifty-one billion, one hundred sixty-five million, nine hundred sixty thousand, five hundred forty".