197982152315136 has 3456 divisors, whose sum is σ = 764467511808000. Its totient is φ = 50881883996160.

The previous prime is 197982152315119. The next prime is 197982152315161. The reversal of 197982152315136 is 631513251289791.

It is a happy number.

197982152315136 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 8 + 21 + 523 + 1 + 51 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×197982152315136² (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).

Its product of digits (24494400) is a multiple of the sum of its prime factors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 714737011830 + ... + 714737012106.

Almost surely, 2^{197982152315136} is an apocalyptic number.

197982152315136 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 197982152315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382233755904000).

197982152315136 is an abundant number, since it is smaller than the sum of its proper divisors (566485359492864).

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

197982152315136 is an equidigital number, since it uses as much as digits as its factorization.

197982152315136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 392 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The spelling of 197982152315136 in words is "one hundred ninety-seven trillion, nine hundred eighty-two billion, one hundred fifty-two million, three hundred fifteen thousand, one hundred thirty-six".