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137333632 = 271072919
BaseRepresentation
bin10000010111110…
…00101110000000
3100120102021022211
420023320232000
5240124134012
621343311504
73255213412
oct1013705600
9316367284
10137333632
1170580877
1239bab594
13225b5807
141434c9b2
15c0cb6a7
hex82f8b80

137333632 has 16 divisors (see below), whose sum is σ = 273594600. Its totient is φ = 68666752.

The previous prime is 137333617. The next prime is 137333657. The reversal of 137333632 is 236333731.

137333632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1373336322 = 37721052956622848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137333594 and 137333603.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 536332 + ... + 536587.

Almost surely, 2137333632 is an apocalyptic number.

It is an amenable number.

137333632 is a deficient number, since it is larger than the sum of its proper divisors (136260968).

137333632 is an equidigital number, since it uses as much as digits as its factorization.

137333632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072933 (or 1072921 counting only the distinct ones).

The product of its digits is 20412, while the sum is 31.

The square root of 137333632 is about 11718.9432970725. The cubic root of 137333632 is about 515.9318059830.

Subtracting 137333632 from its reverse (236333731), we obtain a palindrome (99000099).

The spelling of 137333632 in words is "one hundred thirty-seven million, three hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 1072919 2145838 4291676 8583352 17166704 34333408 68666816 137333632