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137212488 = 2333790749
BaseRepresentation
bin10000010110110…
…11001001001000
3100120012010011000
420023123021020
5240111244423
621340535000
73254200260
oct1013331110
9316163130
10137212488
11704a8856
1239b51460
132257262a
141431a7a0
15c0a5843
hex82db248

137212488 has 64 divisors (see below), whose sum is σ = 435600000. Its totient is φ = 39203136.

The previous prime is 137212483. The next prime is 137212511. The reversal of 137212488 is 884212731.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (137212483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43863 + ... + 46886.

It is an arithmetic number, because the mean of its divisors is an integer number (6806250).

Almost surely, 2137212488 is an apocalyptic number.

137212488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137212488 is an abundant number, since it is smaller than the sum of its proper divisors (298387512).

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

137212488 is a wasteful number, since it uses less digits than its factorization.

137212488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90771 (or 90761 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 137212488 is about 11713.7734313073. The cubic root of 137212488 is about 515.7800576973.

The spelling of 137212488 in words is "one hundred thirty-seven million, two hundred twelve thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 90749 181498 272247 362996 544494 635243 725992 816741 1088988 1270486 1633482 1905729 2177976 2450223 2540972 3266964 3811458 4900446 5081944 5717187 6533928 7622916 9800892 11434374 15245832 17151561 19601784 22868748 34303122 45737496 68606244 137212488