137464020 has 96 divisors (see below), whose sum is σ = 429676800. Its totient is φ = 36484992.

The previous prime is 137464009. The next prime is 137464043. The reversal of 137464020 is 20464731.

137464020 is a `hidden beast` number, since 13 + 7 + 4 + 640 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149121 + ... + 150039.

It is an arithmetic number, because the mean of its divisors is an integer number (4475800).

Almost surely, 2^137464020 is an apocalyptic number.

137464020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137464020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214838400).

137464020 is an abundant number, since it is smaller than the sum of its proper divisors (292212780).

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

137464020 is a wasteful number, since it uses less digits than its factorization.

137464020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 137464020 is about 11724.5051068265. The cubic root of 137464020 is about 516.0950338753.

It can be divided in two parts, 13746 and 4020, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 137464020 in words is "one hundred thirty-seven million, four hundred sixty-four thousand, twenty".