137001984 has 176 divisors, whose sum is σ = 437042688. Its totient is φ = 37306368.

The previous prime is 137001973. The next prime is 137002001. The reversal of 137001984 is 489100731.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 494454 + ... + 494730.

Almost surely, 2^137001984 is an apocalyptic number.

137001984 is a gapful number since it is divisible by the number (14) 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 137001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218521344).

137001984 is an abundant number, since it is smaller than the sum of its proper divisors (300040704).

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

137001984 is a wasteful number, since it uses less digits than its factorization.

137001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 137001984 is about 11704.7846626924. The cubic root of 137001984 is about 515.5161620493.

The spelling of 137001984 in words is "one hundred thirty-seven million, one thousand, nine hundred eighty-four".