151888000760 has 128 divisors (see below), whose sum is σ = 379507835520. Its totient is φ = 54416474112.

The previous prime is 151888000739. The next prime is 151888000763. The reversal of 151888000760 is 67000888151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151888000763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3056432 + ... + 3105728.

It is an arithmetic number, because the mean of its divisors is an integer number (2964904965).

Almost surely, 2^151888000760 is an apocalyptic number.

151888000760 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 151888000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189753917760).

151888000760 is an abundant number, since it is smaller than the sum of its proper divisors (227619834760).

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

151888000760 is a wasteful number, since it uses less digits than its factorization.

151888000760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49545 (or 49541 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 44.

The spelling of 151888000760 in words is "one hundred fifty-one billion, eight hundred eighty-eight million, seven hundred sixty", and thus it is an aban number.