137573538003828 has 60 divisors (see below), whose sum is σ = 359645980613920. Its totient is φ = 45857644887888.

The previous prime is 137573538003793. The next prime is 137573538003857. The reversal of 137573538003828 is 828300835375731.

137573538003828 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 73 + 538 + 0 + 0 + 3 + 8 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85393383 + ... + 86989521.

Almost surely, 2^{137573538003828} is an apocalyptic number.

137573538003828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137573538003828 is an abundant number, since it is smaller than the sum of its proper divisors (222072442610092).

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

137573538003828 is a wasteful number, since it uses less digits than its factorization.

137573538003828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862178 (or 1862167 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 137573538003828 in words is "one hundred thirty-seven trillion, five hundred seventy-three billion, five hundred thirty-eight million, three thousand, eight hundred twenty-eight".