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137842092 = 22323828947
BaseRepresentation
bin10000011011101…
…00110110101100
3100121101002210200
420031310312230
5240241421332
621402233500
73262431663
oct1015646654
9317332720
10137842092
1170898893
123a1b5890
132273308b
1414441dda
15c17c17c
hex8374dac

137842092 has 18 divisors (see below), whose sum is σ = 348434268. Its totient is φ = 45947352.

The previous prime is 137842063. The next prime is 137842097. The reversal of 137842092 is 290248731.

137842092 is digitally balanced in base 2, 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 (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: 3828947 = 137842092 / (1 + 3 + 7 + 8 + 4 + 2 + 0 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (137842097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1914438 + ... + 1914509.

Almost surely, 2137842092 is an apocalyptic number.

137842092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137842092 is an abundant number, since it is smaller than the sum of its proper divisors (210592176).

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

137842092 is a wasteful number, since it uses less digits than its factorization.

137842092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828957 (or 3828952 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137842092 is about 11740.6171899096. The cubic root of 137842092 is about 516.5677453813.

It can be divided in two parts, 13784 and 2092, that added together give a square (15876 = 1262).

The spelling of 137842092 in words is "one hundred thirty-seven million, eight hundred forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 3828947 7657894 11486841 15315788 22973682 34460523 45947364 68921046 137842092