137242160352 has 576 divisors, whose sum is σ = 480151929600. Its totient is φ = 37770485760.

The previous prime is 137242160339. The next prime is 137242160387. The reversal of 137242160352 is 253061242731.

137242160352 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 42 + 1 + 603 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 79652163 + ... + 79653885.

It is an arithmetic number, because the mean of its divisors is an integer number (833597100).

Almost surely, 2^137242160352 is an apocalyptic number.

137242160352 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 137242160352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240075964800).

137242160352 is an abundant number, since it is smaller than the sum of its proper divisors (342909769248).

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

137242160352 is a wasteful number, since it uses less digits than its factorization.

137242160352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 137242160352 in words is "one hundred thirty-seven billion, two hundred forty-two million, one hundred sixty thousand, three hundred fifty-two".