137355540 has 192 divisors, whose sum is σ = 468357120. Its totient is φ = 29399040.

The previous prime is 137355539. The next prime is 137355551. The reversal of 137355540 is 45553731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569820 + ... + 570060.

It is an arithmetic number, because the mean of its divisors is an integer number (2439360).

Almost surely, 2^137355540 is an apocalyptic number.

137355540 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 137355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234178560).

137355540 is an abundant number, since it is smaller than the sum of its proper divisors (331001580).

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

137355540 is a wasteful number, since it uses less digits than its factorization.

137355540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 137355540 is about 11719.8779857130. The cubic root of 137355540 is about 515.9592390132.

The spelling of 137355540 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, five hundred forty".