152199339706512 has 480 divisors, whose sum is σ = 516980941102080. Its totient is φ = 40873355550720.

The previous prime is 152199339706501. The next prime is 152199339706613. The reversal of 152199339706512 is 215607933991251.

152199339706512 is a `hidden beast` number, since 1 + 5 + 2 + 19 + 9 + 3 + 39 + 70 + 6 + 512 = 666.

It is a super-2 number, since 2×152199339706512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 152199339706512.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554773918 + ... + 555048194.

It is an arithmetic number, because the mean of its divisors is an integer number (1077043627296).

Almost surely, 2^{152199339706512} is an apocalyptic number.

152199339706512 is a gapful number since it is divisible by the number (12) 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 152199339706512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258490470551040).

152199339706512 is an abundant number, since it is smaller than the sum of its proper divisors (364781601395568).

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

152199339706512 is a wasteful number, since it uses less digits than its factorization.

152199339706512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274831 (or 274822 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 152199339706512 in words is "one hundred fifty-two trillion, one hundred ninety-nine billion, three hundred thirty-nine million, seven hundred six thousand, five hundred twelve".