137145382472 has 64 divisors (see below), whose sum is σ = 299010096000. Its totient is φ = 57752142336.

The previous prime is 137145382471. The next prime is 137145382477. The reversal of 137145382472 is 274283541731.

It is not an unprimeable number, because it can be changed into a prime (137145382471) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7619948 + ... + 7637924.

It is an arithmetic number, because the mean of its divisors is an integer number (4672032750).

Almost surely, 2^137145382472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137145382472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149505048000).

137145382472 is an abundant number, since it is smaller than the sum of its proper divisors (161864713528).

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

137145382472 is a wasteful number, since it uses less digits than its factorization.

137145382472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20358 (or 20354 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 47.

The spelling of 137145382472 in words is "one hundred thirty-seven billion, one hundred forty-five million, three hundred eighty-two thousand, four hundred seventy-two".