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137248980 = 223511207953
BaseRepresentation
bin10000010111001…
…00000011010100
3100120020222012120
420023210003110
5240113431410
621341415540
73254411541
oct1013440324
9316228176
10137248980
1170523210
1239b6a5b0
132258611b
1414329bc8
15c0b1570
hex82e40d4

137248980 has 48 divisors (see below), whose sum is σ = 419235264. Its totient is φ = 33272320.

The previous prime is 137248957. The next prime is 137248999. The reversal of 137248980 is 89842731.

It is a super-2 number, since 2×1372489802 = 37674565022080800, which contains 22 as substring.

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, 103317 + ... + 104636.

It is an arithmetic number, because the mean of its divisors is an integer number (8734068).

Almost surely, 2137248980 is an apocalyptic number.

137248980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137248980 is an abundant number, since it is smaller than the sum of its proper divisors (281986284).

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

137248980 is a wasteful number, since it uses less digits than its factorization.

137248980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207976 (or 207974 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 137248980 is about 11715.3309812399. The cubic root of 137248980 is about 515.8257779710.

The spelling of 137248980 in words is "one hundred thirty-seven million, two hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 207953 415906 623859 831812 1039765 1247718 2079530 2287483 2495436 3119295 4159060 4574966 6238590 6862449 9149932 11437415 12477180 13724898 22874830 27449796 34312245 45749660 68624490 137248980