137412720 has 80 divisors (see below), whose sum is σ = 473317920. Its totient is φ = 36642816.

The previous prime is 137412697. The next prime is 137412727. The reversal of 137412720 is 27214731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137412727) 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, 29649 + ... + 33968.

It is an arithmetic number, because the mean of its divisors is an integer number (5916474).

Almost surely, 2^137412720 is an apocalyptic number.

137412720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137412720 is an abundant number, since it is smaller than the sum of its proper divisors (335905200).

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

137412720 is a wasteful number, since it uses less digits than its factorization.

137412720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63639 (or 63627 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137412720 is about 11722.3171770772. The cubic root of 137412720 is about 516.0308256328.

It can be divided in two parts, 13741 and 2720, that added together give a palindrome (16461).

The spelling of 137412720 in words is "one hundred thirty-seven million, four hundred twelve thousand, seven hundred twenty".