152451094934016 has 1600 divisors, whose sum is σ = 505447223592960. Its totient is φ = 45591755489280.

The previous prime is 152451094934011. The next prime is 152451094934041. The reversal of 152451094934016 is 610439490154251.

152451094934016 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 5 + 109 + 493 + 40 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152451094934011) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139479500766 + ... + 139479501858.

Almost surely, 2^{152451094934016} is an apocalyptic number.

152451094934016 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 152451094934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252723611796480).

152451094934016 is an abundant number, since it is smaller than the sum of its proper divisors (352996128658944).

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

152451094934016 is a wasteful number, since it uses less digits than its factorization.

152451094934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 152451094934016 in words is "one hundred fifty-two trillion, four hundred fifty-one billion, ninety-four million, nine hundred thirty-four thousand, sixteen".