137198595072 has 880 divisors, whose sum is σ = 495387100800. Its totient is φ = 33381089280.

The previous prime is 137198595071. The next prime is 137198595119. The reversal of 137198595072 is 270595891731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (137198595071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1541557204 + ... + 1541557292.

Almost surely, 2^137198595072 is an apocalyptic number.

137198595072 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 137198595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247693550400).

137198595072 is an abundant number, since it is smaller than the sum of its proper divisors (358188505728).

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

137198595072 is an equidigital number, since it uses as much as digits as its factorization.

137198595072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 57.

The spelling of 137198595072 in words is "one hundred thirty-seven billion, one hundred ninety-eight million, five hundred ninety-five thousand, seventy-two".