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137274045 = 3531289107
BaseRepresentation
bin10000010111010…
…10001010111101
3100120022020120220
420023222022331
5240120232140
621342131553
73254544606
oct1013521275
9316266526
10137274045
1170540027
1239b80bb9
132259465c
1414334dad
15c0b8bd0
hex82ea2bd

137274045 has 48 divisors (see below), whose sum is σ = 231647040. Its totient is φ = 69400320.

The previous prime is 137274001. The next prime is 137274073. The reversal of 137274045 is 540472731.

137274045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137274045 - 28 = 137273789 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137273997 and 137274015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282882 + ... + 1282988.

It is an arithmetic number, because the mean of its divisors is an integer number (4825980).

Almost surely, 2137274045 is an apocalyptic number.

137274045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137274045 is a deficient number, since it is larger than the sum of its proper divisors (94372995).

137274045 is a wasteful number, since it uses less digits than its factorization.

137274045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 137274045 is about 11716.4006845106. The cubic root of 137274045 is about 515.8571768350.

The spelling of 137274045 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, forty-five".

Divisors: 1 3 5 15 31 89 93 107 155 267 321 445 465 535 961 1335 1605 2759 2883 3317 4805 8277 9523 9951 13795 14415 16585 28569 41385 47615 49755 85529 102827 142845 256587 295213 308481 427645 514135 885639 1282935 1476065 1542405 4428195 9151603 27454809 45758015 137274045