151590675456 has 264 divisors, whose sum is σ = 484255482048. Its totient is φ = 45287424000.

The previous prime is 151590675437. The next prime is 151590675479. The reversal of 151590675456 is 654576095151.

It is a happy number.

151590675456 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 90 + 6 + 7 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7187166 + ... + 7208226.

Almost surely, 2^151590675456 is an apocalyptic number.

151590675456 is a gapful number since it is divisible by the number (16) 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 151590675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242127741024).

151590675456 is an abundant number, since it is smaller than the sum of its proper divisors (332664806592).

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

151590675456 is a wasteful number, since it uses less digits than its factorization.

151590675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21169 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 151590675456 in words is "one hundred fifty-one billion, five hundred ninety million, six hundred seventy-five thousand, four hundred fifty-six".