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137246364 = 22323812399
BaseRepresentation
bin10000010111000…
…11011010011100
3100120020211121200
420023203122130
5240113340424
621341355500
73254401113
oct1013433234
9316224550
10137246364
1170521252
1239b68b90
1322584b88
1414328c7a
15c0b08c9
hex82e369c

137246364 has 18 divisors (see below), whose sum is σ = 346928400. Its totient is φ = 45748776.

The previous prime is 137246363. The next prime is 137246377. The reversal of 137246364 is 463642731.

It is a happy number.

137246364 is a `hidden beast` number, since 13 + 7 + 2 + 4 + 636 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3812399 = 137246364 / (1 + 3 + 7 + 2 + 4 + 6 + 3 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137246363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1906164 + ... + 1906235.

It is an arithmetic number, because the mean of its divisors is an integer number (19273800).

Almost surely, 2137246364 is an apocalyptic number.

It is an amenable number.

137246364 is an abundant number, since it is smaller than the sum of its proper divisors (209682036).

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

137246364 is a wasteful number, since it uses less digits than its factorization.

137246364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812409 (or 3812404 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 137246364 is about 11715.2193321337. The cubic root of 137246364 is about 515.8225006939.

The spelling of 137246364 in words is "one hundred thirty-seven million, two hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3812399 7624798 11437197 15249596 22874394 34311591 45748788 68623182 137246364