137450112 has 64 divisors (see below), whose sum is σ = 366759360. Its totient is φ = 45608960.

The previous prime is 137450077. The next prime is 137450113. The reversal of 137450112 is 211054731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (137450113) 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, 100312 + ... + 101672.

It is an arithmetic number, because the mean of its divisors is an integer number (5730615).

Almost surely, 2^137450112 is an apocalyptic number.

137450112 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 137450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183379680).

137450112 is an abundant number, since it is smaller than the sum of its proper divisors (229309248).

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

137450112 is a wasteful number, since it uses less digits than its factorization.

137450112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137450112 is about 11723.9119751046. The cubic root of 137450112 is about 516.0776278859.

The spelling of 137450112 in words is "one hundred thirty-seven million, four hundred fifty thousand, one hundred twelve".