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137633052 = 22311469421
BaseRepresentation
bin10000011010000…
…01110100011100
3100120222111001110
420031001310130
5240213224202
621353542020
73260601354
oct1015016434
9316874043
10137633052
1170765827
123a114910
132268bb9b
14143c9b64
15c13a26c
hex8341d1c

137633052 has 12 divisors (see below), whose sum is σ = 321143816. Its totient is φ = 45877680.

The previous prime is 137633047. The next prime is 137633057. The reversal of 137633052 is 250336731.

It is an interprime number because it is at equal distance from previous prime (137633047) and next prime (137633057).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137633057) 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 3 ways as a sum of consecutive naturals, for example, 5734699 + ... + 5734722.

Almost surely, 2137633052 is an apocalyptic number.

137633052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137633052 is an abundant number, since it is smaller than the sum of its proper divisors (183510764).

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

137633052 is a wasteful number, since it uses less digits than its factorization.

137633052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11469428 (or 11469426 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 137633052 is about 11731.7113841076. The cubic root of 137633052 is about 516.3064851905.

Adding to 137633052 its reverse (250336731), we get a palindrome (387969783).

The spelling of 137633052 in words is "one hundred thirty-seven million, six hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 12 11469421 22938842 34408263 45877684 68816526 137633052