137287235712 has 128 divisors (see below), whose sum is σ = 400954982400. Its totient is φ = 41274455040.

The previous prime is 137287235671. The next prime is 137287235713. The reversal of 137287235712 is 217532782731.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (137287235713) 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, 408489 + ... + 664407.

It is an arithmetic number, because the mean of its divisors is an integer number (3132460800).

Almost surely, 2^137287235712 is an apocalyptic number.

137287235712 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 137287235712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200477491200).

137287235712 is an abundant number, since it is smaller than the sum of its proper divisors (263667746688).

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

137287235712 is a wasteful number, since it uses less digits than its factorization.

137287235712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256074 (or 256062 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The spelling of 137287235712 in words is "one hundred thirty-seven billion, two hundred eighty-seven million, two hundred thirty-five thousand, seven hundred twelve".