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137998080 = 28345113
BaseRepresentation
bin10000011100110…
…10111100000000
3100121200000210000
420032122330000
5240311414310
621405440000
73263651523
oct1016327400
9317600700
10137998080
1170995000
123a270000
132278908c
1414482bba
15c1ad4c0
hex839af00

137998080 has 360 divisors, whose sum is σ = 543123504. Its totient is φ = 33454080.

The previous prime is 137998079. The next prime is 137998097. The reversal of 137998080 is 80899731.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 660 × 396 × 528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12545275 + ... + 12545285.

Almost surely, 2137998080 is an apocalyptic number.

137998080 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 137998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271561752).

137998080 is an abundant number, since it is smaller than the sum of its proper divisors (405125424).

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

137998080 is an frugal number, since it uses more digits than its factorization.

137998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 137998080 is about 11747.2584035595. The cubic root of 137998080 is about 516.7625286343.

The spelling of 137998080 in words is "one hundred thirty-seven million, nine hundred ninety-eight thousand, eighty".