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137150944 = 2573119751
BaseRepresentation
bin10000010110011…
…00000111100000
3100120001222201121
420023030013200
5240102312234
621335342024
73253522660
oct1013140740
9316058647
10137150944
1170466597
1239b21914
1322550608
14143021a0
15c0924b4
hex82cc1e0

137150944 has 48 divisors (see below), whose sum is σ = 318560256. Its totient is φ = 56880000.

The previous prime is 137150941. The next prime is 137150953. The reversal of 137150944 is 449051731.

137150944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1371509442 = 37620762880182272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137150941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2932 + ... + 16819.

It is an arithmetic number, because the mean of its divisors is an integer number (6636672).

Almost surely, 2137150944 is an apocalyptic number.

137150944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137150944 is an abundant number, since it is smaller than the sum of its proper divisors (181409312).

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

137150944 is a wasteful number, since it uses less digits than its factorization.

137150944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19799 (or 19791 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 137150944 is about 11711.1461437385. The cubic root of 137150944 is about 515.7029317849.

The spelling of 137150944 in words is "one hundred thirty-seven million, one hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 19751 39502 79004 138257 158008 276514 316016 553028 612281 632032 1106056 1224562 2212112 2449124 4285967 4424224 4898248 8571934 9796496 17143868 19592992 34287736 68575472 137150944