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137794150 = 25213223709
BaseRepresentation
bin10000011011010…
…01001001100110
3100121021200001001
420031221021212
5240233403100
621401223514
73262142134
oct1015511146
9317250031
10137794150
117086586a
123a191b9a
1322717300
141442c754
15c16cd6a
hex8369266

137794150 has 72 divisors (see below), whose sum is σ = 290003760. Its totient is φ = 48597120.

The previous prime is 137794133. The next prime is 137794159. The reversal of 137794150 is 51497731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137794159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193996 + ... + 194704.

It is an arithmetic number, because the mean of its divisors is an integer number (4027830).

Almost surely, 2137794150 is an apocalyptic number.

137794150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137794150 is an abundant number, since it is smaller than the sum of its proper divisors (152209610).

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

137794150 is a wasteful number, since it uses less digits than its factorization.

137794150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 137794150 is about 11738.5752968578. The cubic root of 137794150 is about 516.5078503661.

The spelling of 137794150 in words is "one hundred thirty-seven million, seven hundred ninety-four thousand, one hundred fifty".

Divisors: 1 2 5 10 13 23 25 26 46 50 65 115 130 169 230 299 325 338 575 598 650 709 845 1150 1418 1495 1690 2990 3545 3887 4225 7090 7475 7774 8450 9217 14950 16307 17725 18434 19435 32614 35450 38870 46085 81535 92170 97175 119821 163070 194350 211991 230425 239642 407675 423982 460850 599105 815350 1059955 1198210 2119910 2755883 2995525 5299775 5511766 5991050 10599550 13779415 27558830 68897075 137794150