137081472 has 256 divisors, whose sum is σ = 444165120. Its totient is φ = 36945920.

The previous prime is 137081471. The next prime is 137081507. The reversal of 137081472 is 274180731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137081471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651543 + ... + 1651625.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^137081472 is an apocalyptic number.

137081472 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 137081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

137081472 is an abundant number, since it is smaller than the sum of its proper divisors (307083648).

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

137081472 is a wasteful number, since it uses less digits than its factorization.

137081472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 137081472 is about 11708.1797048047. The cubic root of 137081472 is about 515.6158429081.

The spelling of 137081472 in words is "one hundred thirty-seven million, eighty-one thousand, four hundred seventy-two".