137583050 has 36 divisors (see below), whose sum is σ = 281295798. Its totient is φ = 50028000.

The previous prime is 137583031. The next prime is 137583059. The reversal of 137583050 is 50385731.

It can be written as a sum of positive squares in 3 ways, for example, as 69338929 + 68244121 = 8327^2 + 8261^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137582998 and 137583016.

It is not an unprimeable number, because it can be changed into a prime (137583059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5321 + ... + 17420.

Almost surely, 2^137583050 is an apocalyptic number.

137583050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137583050 is an abundant number, since it is smaller than the sum of its proper divisors (143712748).

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

137583050 is a wasteful number, since it uses less digits than its factorization.

137583050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22775 (or 22759 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 137583050 is about 11729.5801288878. The cubic root of 137583050 is about 516.2439530117.

The spelling of 137583050 in words is "one hundred thirty-seven million, five hundred eighty-three thousand, fifty".