151325254080 has 896 divisors, whose sum is σ = 716807669760. Its totient is φ = 29023764480.

The previous prime is 151325254049. The next prime is 151325254103. The reversal of 151325254080 is 80452523151.

151325254080 is a `hidden beast` number, since 1 + 5 + 1 + 32 + 5 + 2 + 540 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8639892 + ... + 8657388.

It is an arithmetic number, because the mean of its divisors is an integer number (800008560).

Almost surely, 2^151325254080 is an apocalyptic number.

151325254080 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 151325254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358403834880).

151325254080 is an abundant number, since it is smaller than the sum of its proper divisors (565482415680).

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

151325254080 is a wasteful number, since it uses less digits than its factorization.

151325254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17554 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 151325254080 in words is "one hundred fifty-one billion, three hundred twenty-five million, two hundred fifty-four thousand, eighty".