137999712 has 48 divisors (see below), whose sum is σ = 364512960. Its totient is φ = 45712512.

The previous prime is 137999671. The next prime is 137999713. The reversal of 137999712 is 217999731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137999713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11239 + ... + 20057.

It is an arithmetic number, because the mean of its divisors is an integer number (7594020).

Almost surely, 2^137999712 is an apocalyptic number.

137999712 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 137999712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182256480).

137999712 is an abundant number, since it is smaller than the sum of its proper divisors (226513248).

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

137999712 is a wasteful number, since it uses less digits than its factorization.

137999712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8987 counting only the distinct ones).

The product of its digits is 214326, while the sum is 48.

The square root of 137999712 is about 11747.3278663703. The cubic root of 137999712 is about 516.7645657475.

The spelling of 137999712 in words is "one hundred thirty-seven million, nine hundred ninety-nine thousand, seven hundred twelve".