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137831136 = 2531435741
BaseRepresentation
bin10000011011100…
…10001011100000
3100121100112202220
420031302023200
5240241044021
621402111040
73262355022
oct1015621340
9317315686
10137831136
1170890633
123a1ab480
132272b0b1
141443c012
15c178cc6
hex83722e0

137831136 has 24 divisors (see below), whose sum is σ = 361806984. Its totient is φ = 45943680.

The previous prime is 137831131. The next prime is 137831159. The reversal of 137831136 is 631138731.

137831136 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 137831097 and 137831106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137831131) 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, 717775 + ... + 717966.

It is an arithmetic number, because the mean of its divisors is an integer number (15075291).

Almost surely, 2137831136 is an apocalyptic number.

137831136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137831136 is an abundant number, since it is smaller than the sum of its proper divisors (223975848).

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

137831136 is a wasteful number, since it uses less digits than its factorization.

137831136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435754 (or 1435746 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 137831136 is about 11740.1505952862. The cubic root of 137831136 is about 516.5540590293.

Adding to 137831136 its reverse (631138731), we get a palindrome (768969867).

The spelling of 137831136 in words is "one hundred thirty-seven million, eight hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1435741 2871482 4307223 5742964 8614446 11485928 17228892 22971856 34457784 45943712 68915568 137831136