137501900 has 18 divisors (see below), whose sum is σ = 298379340. Its totient is φ = 55000720.

The previous prime is 137501891. The next prime is 137501909. The reversal of 137501900 is 9105731.

137501900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137501891) and next prime (137501909).

It is a super-2 number, since 2×137501900² = 37813545007220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137501900.

It is not an unprimeable number, because it can be changed into a prime (137501909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 687410 + ... + 687609.

It is an arithmetic number, because the mean of its divisors is an integer number (16576630).

Almost surely, 2^137501900 is an apocalyptic number.

137501900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137501900 is an abundant number, since it is smaller than the sum of its proper divisors (160877440).

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

137501900 is a wasteful number, since it uses less digits than its factorization.

137501900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375033 (or 1375026 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 26.

The square root of 137501900 is about 11726.1204155509. The cubic root of 137501900 is about 516.1424350896.

The spelling of 137501900 in words is "one hundred thirty-seven million, five hundred one thousand, nine hundred".