151607517820 has 48 divisors (see below), whose sum is σ = 348876638208. Its totient is φ = 54882768960.

The previous prime is 151607517799. The next prime is 151607517823. The reversal of 151607517820 is 28715706151.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151607517823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496064 + ... + 1594183.

It is an arithmetic number, because the mean of its divisors is an integer number (7268263296).

Almost surely, 2^151607517820 is an apocalyptic number.

151607517820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151607517820 is an abundant number, since it is smaller than the sum of its proper divisors (197269120388).

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

151607517820 is a wasteful number, since it uses less digits than its factorization.

151607517820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090490 (or 3090488 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 43.

The spelling of 151607517820 in words is "one hundred fifty-one billion, six hundred seven million, five hundred seventeen thousand, eight hundred twenty".