152476068096 has 432 divisors, whose sum is σ = 494095073472. Its totient is φ = 44822937600.

The previous prime is 152476068091. The next prime is 152476068103. The reversal of 152476068096 is 690860674251.

152476068096 is a `hidden beast` number, since 1 + 5 + 2 + 476 + 0 + 6 + 80 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (152476068091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197251966 + ... + 197252738.

It is an arithmetic number, because the mean of its divisors is an integer number (1143738596).

Almost surely, 2^152476068096 is an apocalyptic number.

152476068096 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 152476068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247047536736).

152476068096 is an abundant number, since it is smaller than the sum of its proper divisors (341619005376).

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

152476068096 is a wasteful number, since it uses less digits than its factorization.

152476068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 152476068096 in words is "one hundred fifty-two billion, four hundred seventy-six million, sixty-eight thousand, ninety-six".