151375827456 has 480 divisors, whose sum is σ = 525098141568. Its totient is φ = 42639851520.

The previous prime is 151375827443. The next prime is 151375827481. The reversal of 151375827456 is 654728573151.

151375827456 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 7 + 582 + 7 + 4 + 56 = 666.

It is a super-2 number, since 2×151375827456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63575386 + ... + 63577766.

Almost surely, 2^151375827456 is an apocalyptic number.

151375827456 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 151375827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262549070784).

151375827456 is an abundant number, since it is smaller than the sum of its proper divisors (373722314112).

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

151375827456 is an frugal number, since it uses more digits than its factorization.

151375827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2466 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 151375827456 in words is "one hundred fifty-one billion, three hundred seventy-five million, eight hundred twenty-seven thousand, four hundred fifty-six".