137577001050 has 72 divisors (see below), whose sum is σ = 369684804060. Its totient is φ = 36681120000.

The previous prime is 137577001021. The next prime is 137577001057. The reversal of 137577001050 is 50100775731.

It is a happy number.

137577001050 is a `hidden beast` number, since 1 + 37 + 577 + 0 + 0 + 1 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39803841081 + 97773159969 = 199509^2 + 312687^2 .

It is a super-2 number, since 2×137577001050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137577000996 and 137577001014.

It is not an unprimeable number, because it can be changed into a prime (137577001057) 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 35 ways as a sum of consecutive naturals, for example, 3128616 + ... + 3172284.

Almost surely, 2^137577001050 is an apocalyptic number.

137577001050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137577001050 is an abundant number, since it is smaller than the sum of its proper divisors (232107803010).

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

137577001050 is a wasteful number, since it uses less digits than its factorization.

137577001050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50688 (or 50680 counting only the distinct ones).

The product of its (nonzero) digits is 25725, while the sum is 36.

Adding to 137577001050 its reverse (50100775731), we get a palindrome (187677776781).

The spelling of 137577001050 in words is "one hundred thirty-seven billion, five hundred seventy-seven million, one thousand, fifty".