153149750485056 has 1344 divisors, whose sum is σ = 536112590764800. Its totient is φ = 42487566336000.

The previous prime is 153149750485033. The next prime is 153149750485057. The reversal of 153149750485056 is 650584057941351.

153149750485056 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 49 + 7 + 504 + 85 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 153149750484984 and 153149750485002.

It is not an unprimeable number, because it can be changed into a prime (153149750485057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25020377676 + ... + 25020383796.

It is an arithmetic number, because the mean of its divisors is an integer number (398893296700).

Almost surely, 2^{153149750485056} is an apocalyptic number.

153149750485056 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 153149750485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268056295382400).

153149750485056 is an abundant number, since it is smaller than the sum of its proper divisors (382962840279744).

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

153149750485056 is a wasteful number, since it uses less digits than its factorization.

153149750485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 153149750485056 in words is "one hundred fifty-three trillion, one hundred forty-nine billion, seven hundred fifty million, four hundred eighty-five thousand, fifty-six".