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137242764 = 223213727827
BaseRepresentation
bin10000010111000…
…10100010001100
3100120020122200100
420023202202030
5240113232024
621341331100
73254354451
oct1013424214
9316218610
10137242764
117051957a
1239b66a90
1322583349
1414327828
15c0ae7c9
hex82e288c

137242764 has 36 divisors (see below), whose sum is σ = 349464024. Its totient is φ = 45412032.

The previous prime is 137242759. The next prime is 137242783. The reversal of 137242764 is 467242731.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8982 + ... + 18845.

It is an arithmetic number, because the mean of its divisors is an integer number (9707334).

Almost surely, 2137242764 is an apocalyptic number.

It is an amenable number.

137242764 is an abundant number, since it is smaller than the sum of its proper divisors (212221260).

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

137242764 is a wasteful number, since it uses less digits than its factorization.

137242764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27974 (or 27969 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 137242764 is about 11715.0656848351. The cubic root of 137242764 is about 515.8179906115.

It can be divided in two parts, 1 and 37242764, that added together give a triangular number (37242765 = T8630).

The spelling of 137242764 in words is "one hundred thirty-seven million, two hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 27827 55654 83481 111308 166962 250443 333924 500886 1001772 3812299 7624598 11436897 15249196 22873794 34310691 45747588 68621382 137242764