137198880 has 384 divisors, whose sum is σ = 592704000. Its totient is φ = 28864512.

The previous prime is 137198879. The next prime is 137198921. The reversal of 137198880 is 88891731.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 392946 + ... + 393294.

It is an arithmetic number, because the mean of its divisors is an integer number (1543500).

Almost surely, 2^137198880 is an apocalyptic number.

137198880 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 137198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352000).

137198880 is an abundant number, since it is smaller than the sum of its proper divisors (455505120).

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

137198880 is a wasteful number, since it uses less digits than its factorization.

137198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 137198880 is about 11713.1925622351. The cubic root of 137198880 is about 515.7630063653.

The spelling of 137198880 in words is "one hundred thirty-seven million, one hundred ninety-eight thousand, eight hundred eighty".