151686751922560 has 512 divisors, whose sum is σ = 400723797196800. Its totient is φ = 54762017587200.

The previous prime is 151686751922557. The next prime is 151686751922621. The reversal of 151686751922560 is 65229157686151.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 151686751922492 and 151686751922501.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1643916106 + ... + 1644008374.

It is an arithmetic number, because the mean of its divisors is an integer number (782663666400).

Almost surely, 2^{151686751922560} is an apocalyptic number.

151686751922560 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 151686751922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200361898598400).

151686751922560 is an abundant number, since it is smaller than the sum of its proper divisors (249037045274240).

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

151686751922560 is a wasteful number, since it uses less digits than its factorization.

151686751922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92450 (or 92438 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 64.

The spelling of 151686751922560 in words is "one hundred fifty-one trillion, six hundred eighty-six billion, seven hundred fifty-one million, nine hundred twenty-two thousand, five hundred sixty".