137145762732 has 48 divisors (see below), whose sum is σ = 358533407232. Its totient is φ = 40436095680.

The previous prime is 137145762683. The next prime is 137145762737. The reversal of 137145762732 is 237267541731.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137145762737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14035428 + ... + 14045195.

It is an arithmetic number, because the mean of its divisors is an integer number (7469445984).

Almost surely, 2^137145762732 is an apocalyptic number.

137145762732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137145762732 is an abundant number, since it is smaller than the sum of its proper divisors (221387644500).

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

137145762732 is a wasteful number, since it uses less digits than its factorization.

137145762732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28080678 (or 28080676 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 48.

The spelling of 137145762732 in words is "one hundred thirty-seven billion, one hundred forty-five million, seven hundred sixty-two thousand, seven hundred thirty-two".