137884140 has 192 divisors, whose sum is σ = 459648000. Its totient is φ = 34214400.

The previous prime is 137884139. The next prime is 137884157. The reversal of 137884140 is 41488731.

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 = 137884095 and 137884104.

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, 913065 + ... + 913215.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^137884140 is an apocalyptic number.

137884140 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 137884140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

137884140 is an abundant number, since it is smaller than the sum of its proper divisors (321763860).

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

137884140 is a wasteful number, since it uses less digits than its factorization.

137884140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 137884140 is about 11742.4077599102. The cubic root of 137884140 is about 516.6202654594.

The spelling of 137884140 in words is "one hundred thirty-seven million, eight hundred eighty-four thousand, one hundred forty".