152116919136000 has 4032 divisors, whose sum is σ = 705891858287616. Its totient is φ = 31791771648000.

The previous prime is 152116919135999. The next prime is 152116919136019. The reversal of 152116919136000 is 631919611251.

152116919136000 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 16 + 9 + 19 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 278093087727 + ... + 278093088273.

It is an arithmetic number, because the mean of its divisors is an integer number (175072385488).

Almost surely, 2^{152116919136000} is an apocalyptic number.

152116919136000 is a gapful number since it is divisible by the number (10) 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 152116919136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352945929143808).

152116919136000 is an abundant number, since it is smaller than the sum of its proper divisors (553774939151616).

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

152116919136000 is an equidigital number, since it uses as much as digits as its factorization.

152116919136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 152116919136000 in words is "one hundred fifty-two trillion, one hundred sixteen billion, nine hundred nineteen million, one hundred thirty-six thousand".