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137925900 = 223252721893
BaseRepresentation
bin10000011100010…
…01010100001100
3100121112100202200
420032021110030
5240302112100
621404121500
73263231220
oct1016112414
9317470680
10137925900
1170945852
123a236290
1322762278
1414464780
15c196e00
hex838950c

137925900 has 108 divisors (see below), whose sum is σ = 494103792. Its totient is φ = 31524480.

The previous prime is 137925877. The next prime is 137925901. The reversal of 137925900 is 9529731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137925901) 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, 4647 + ... + 17246.

Almost surely, 2137925900 is an apocalyptic number.

137925900 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 137925900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247051896).

137925900 is an abundant number, since it is smaller than the sum of its proper divisors (356177892).

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

137925900 is a wasteful number, since it uses less digits than its factorization.

137925900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21920 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 137925900 is about 11744.1857955330. The cubic root of 137925900 is about 516.6724152442.

The spelling of 137925900 in words is "one hundred thirty-seven million, nine hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 21893 43786 65679 87572 109465 131358 153251 197037 218930 262716 306502 328395 394074 437860 459753 547325 613004 656790 766255 788148 919506 985185 1094650 1313580 1379259 1532510 1641975 1839012 1970370 2189300 2298765 2758518 3065020 3283950 3831275 3940740 4597530 4925925 5517036 6567900 6896295 7662550 9195060 9851850 11493825 13792590 15325100 19703700 22987650 27585180 34481475 45975300 68962950 137925900