152714078352 has 600 divisors, whose sum is σ = 508472116416. Its totient is φ = 43872192000.

The previous prime is 152714078347. The next prime is 152714078359. The reversal of 152714078352 is 253870417251.

152714078352 is a `hidden beast` number, since 1 + 52 + 71 + 407 + 83 + 52 = 666.

152714078352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152714078298 and 152714078307.

It is not an unprimeable number, because it can be changed into a prime (152714078359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 972701058 + ... + 972701214.

Almost surely, 2^152714078352 is an apocalyptic number.

152714078352 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 152714078352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254236058208).

152714078352 is an abundant number, since it is smaller than the sum of its proper divisors (355758038064).

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

152714078352 is a wasteful number, since it uses less digits than its factorization.

152714078352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 152714078352 in words is "one hundred fifty-two billion, seven hundred fourteen million, seventy-eight thousand, three hundred fifty-two".