151533933319056 has 320 divisors, whose sum is σ = 404426852524800. Its totient is φ = 48873231360000.

The previous prime is 151533933319039. The next prime is 151533933319063. The reversal of 151533933319056 is 650913339335151.

It is a super-2 number, since 2×151533933319056² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 151533933318987 and 151533933319005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30240255591 + ... + 30240260601.

It is an arithmetic number, because the mean of its divisors is an integer number (1263833914140).

Almost surely, 2^{151533933319056} is an apocalyptic number.

151533933319056 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 151533933319056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202213426262400).

151533933319056 is an abundant number, since it is smaller than the sum of its proper divisors (252892919205744).

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

151533933319056 is a wasteful number, since it uses less digits than its factorization.

151533933319056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 14762250, while the sum is 57.

The spelling of 151533933319056 in words is "one hundred fifty-one trillion, five hundred thirty-three billion, nine hundred thirty-three million, three hundred nineteen thousand, fifty-six".