151981110328320 has 2816 divisors, whose sum is σ = 684240572252160. Its totient is φ = 31135452364800.

The previous prime is 151981110328309. The next prime is 151981110328423. The reversal of 151981110328320 is 23823011189151.

151981110328320 is a `hidden beast` number, since 1 + 5 + 198 + 1 + 110 + 3 + 28 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 103318225185 + ... + 103318226655.

It is an arithmetic number, because the mean of its divisors is an integer number (242983157760).

Almost surely, 2^{151981110328320} is an apocalyptic number.

151981110328320 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 151981110328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342120286126080).

151981110328320 is an abundant number, since it is smaller than the sum of its proper divisors (532259461923840).

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

151981110328320 is a wasteful number, since it uses less digits than its factorization.

151981110328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 151981110328320 in words is "one hundred fifty-one trillion, nine hundred eighty-one billion, one hundred ten million, three hundred twenty-eight thousand, three hundred twenty".