152982117186192 has 720 divisors, whose sum is σ = 540811758689280. Its totient is φ = 40093954080768.

The previous prime is 152982117186127. The next prime is 152982117186193. The reversal of 152982117186192 is 291681711289251.

152982117186192 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 8 + 2 + 1 + 1 + 7 + 1 + 8 + 619 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152982117186193) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1347364048 + ... + 1347477584.

It is an arithmetic number, because the mean of its divisors is an integer number (751127442624).

Almost surely, 2^{152982117186192} is an apocalyptic number.

152982117186192 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 152982117186192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270405879344640).

152982117186192 is an abundant number, since it is smaller than the sum of its proper divisors (387829641503088).

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

152982117186192 is a wasteful number, since it uses less digits than its factorization.

152982117186192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113868 (or 113852 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 63.

The spelling of 152982117186192 in words is "one hundred fifty-two trillion, nine hundred eighty-two billion, one hundred seventeen million, one hundred eighty-six thousand, one hundred ninety-two".