152142680160 has 192 divisors, whose sum is σ = 533692152000. Its totient is φ = 40480505856.

The previous prime is 152142680159. The next prime is 152142680161. The reversal of 152142680160 is 61086241251.

It is a happy number.

152142680160 is a `hidden beast` number, since 1 + 521 + 42 + 6 + 80 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152142680159) and next prime (152142680161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152142680161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900462 + ... + 1978898.

It is an arithmetic number, because the mean of its divisors is an integer number (2779646625).

Almost surely, 2^152142680160 is an apocalyptic number.

152142680160 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 152142680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266846076000).

152142680160 is an abundant number, since it is smaller than the sum of its proper divisors (381549471840).

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

152142680160 is a wasteful number, since it uses less digits than its factorization.

152142680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78910 (or 78896 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 152142680160 in words is "one hundred fifty-two billion, one hundred forty-two million, six hundred eighty thousand, one hundred sixty".