151232080320 has 336 divisors, whose sum is σ = 562901713920. Its totient is φ = 38574683136.

The previous prime is 151232080319. The next prime is 151232080333. The reversal of 151232080320 is 23080232151.

151232080320 is a `hidden beast` number, since 1 + 5 + 12 + 320 + 8 + 0 + 320 = 666.

It is a super-2 number, since 2×151232080320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1746201 + ... + 1830759.

It is an arithmetic number, because the mean of its divisors is an integer number (1675302720).

Almost surely, 2^151232080320 is an apocalyptic number.

151232080320 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 151232080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281450856960).

151232080320 is an abundant number, since it is smaller than the sum of its proper divisors (411669633600).

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

151232080320 is an equidigital number, since it uses as much as digits as its factorization.

151232080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84614 (or 84592 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 151232080320 in words is "one hundred fifty-one billion, two hundred thirty-two million, eighty thousand, three hundred twenty".