137673540 has 96 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 36360576.

The previous prime is 137673539. The next prime is 137673541. The reversal of 137673540 is 45376731.

It is an interprime number because it is at equal distance from previous prime (137673539) and next prime (137673541).

It is a super-2 number, since 2×137673540² = 37908007232263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137673495 and 137673504.

It is not an unprimeable number, because it can be changed into a prime (137673541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57691 + ... + 60029.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 2^137673540 is an apocalyptic number.

137673540 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 137673540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

137673540 is an abundant number, since it is smaller than the sum of its proper divisors (294758460).

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

137673540 is a wasteful number, since it uses less digits than its factorization.

137673540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 137673540 is about 11733.4368366647. The cubic root of 137673540 is about 516.3571081264.

The spelling of 137673540 in words is "one hundred thirty-seven million, six hundred seventy-three thousand, five hundred forty".