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137356950 = 23523724749
BaseRepresentation
bin10000010111111…
…10011010010110
3100120110110022110
420023332122112
5240130410300
621344011450
73255341403
oct1013763226
9316413273
10137356950
1170597345
123a000b86
13225c3303
14143572aa
15c0d3550
hex82fe696

137356950 has 48 divisors (see below), whose sum is σ = 349866000. Its totient is φ = 35637120.

The previous prime is 137356937. The next prime is 137356951. The reversal of 137356950 is 59653731.

It is a super-4 number, since 4×1373569504 (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137356899 and 137356908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137356951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6825 + ... + 17924.

It is an arithmetic number, because the mean of its divisors is an integer number (7288875).

Almost surely, 2137356950 is an apocalyptic number.

137356950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137356950 is an abundant number, since it is smaller than the sum of its proper divisors (212509050).

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

137356950 is a wasteful number, since it uses less digits than its factorization.

137356950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24801 (or 24796 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 137356950 is about 11719.9381397685. The cubic root of 137356950 is about 515.9610045046.

The spelling of 137356950 in words is "one hundred thirty-seven million, three hundred fifty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 24749 49498 74247 123745 148494 247490 371235 618725 742470 915713 1237450 1831426 1856175 2747139 3712350 4578565 5494278 9157130 13735695 22892825 27471390 45785650 68678475 137356950