137901571922500 has 45 divisors (see below), whose sum is σ = 301564441481611. Its totient is φ = 55160393906000.

The previous prime is 137901571922461. The next prime is 137901571922507. The reversal of 137901571922500 is 5229175109731.

The square root of 137901571922500 is 11743150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10811483238724 + 127090088683776 = 3288082^2 + 11273424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137901571922507) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 587040069 + ... + 587274931.

Almost surely, 2^{137901571922500} is an apocalyptic number.

137901571922500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137901571922500 is the 11743150-th square number.

It is an amenable number.

137901571922500 is an abundant number, since it is smaller than the sum of its proper divisors (163662869559111).

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

137901571922500 is an frugal number, since it uses more digits than its factorization.

137901571922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469750 (or 234870 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 52.

The spelling of 137901571922500 in words is "one hundred thirty-seven trillion, nine hundred one billion, five hundred seventy-one million, nine hundred twenty-two thousand, five hundred".