137451020 has 48 divisors (see below), whose sum is σ = 331914240. Its totient is φ = 46835904.

The previous prime is 137451019. The next prime is 137451109. The reversal of 137451020 is 20154731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20441 + ... + 26319.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2^137451020 is an apocalyptic number.

137451020 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 137451020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

137451020 is an abundant number, since it is smaller than the sum of its proper divisors (194463220).

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

137451020 is a wasteful number, since it uses less digits than its factorization.

137451020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 137451020 is about 11723.9506993163. The cubic root of 137451020 is about 516.0787642920.

The spelling of 137451020 in words is "one hundred thirty-seven million, four hundred fifty-one thousand, twenty".