137571072 has 144 divisors (see below), whose sum is σ = 398678112. Its totient is φ = 41943040.

The previous prime is 137571053. The next prime is 137571079. The reversal of 137571072 is 270175731.

It is not an unprimeable number, because it can be changed into a prime (137571079) 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, 535168 + ... + 535424.

It is an arithmetic number, because the mean of its divisors is an integer number (2768598).

Almost surely, 2^137571072 is an apocalyptic number.

137571072 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 137571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199339056).

137571072 is an abundant number, since it is smaller than the sum of its proper divisors (261107040).

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

137571072 is a wasteful number, since it uses less digits than its factorization.

137571072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 137571072 is about 11729.0695283130. The cubic root of 137571072 is about 516.2289711528.

The spelling of 137571072 in words is "one hundred thirty-seven million, five hundred seventy-one thousand, seventy-two".