137583072 has 144 divisors (see below), whose sum is σ = 431291952. Its totient is φ = 41256960.

The previous prime is 137583059. The next prime is 137583073. The reversal of 137583072 is 270385731.

137583072 is a `hidden beast` number, since 1 + 3 + 7 + 583 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137583073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433858 + ... + 434174.

It is an arithmetic number, because the mean of its divisors is an integer number (2995083).

Almost surely, 2^137583072 is an apocalyptic number.

137583072 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 137583072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215645976).

137583072 is an abundant number, since it is smaller than the sum of its proper divisors (293708880).

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

137583072 is a wasteful number, since it uses less digits than its factorization.

137583072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 137583072 is about 11729.5810666878. The cubic root of 137583072 is about 516.2439805281.

The spelling of 137583072 in words is "one hundred thirty-seven million, five hundred eighty-three thousand, seventy-two".