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137464542 = 23275110169
BaseRepresentation
bin10000011000110…
…00101011011110
3100120122220220100
420030120223132
5240142331132
621350201530
73256300155
oct1014305336
9316586810
10137464542
1170660166
123a0532a6
1322630287
141438459c
15c10537c
hex8318ade

137464542 has 24 divisors (see below), whose sum is σ = 298265760. Its totient is φ = 45756000.

The previous prime is 137464541. The next prime is 137464543. The reversal of 137464542 is 245464731.

137464542 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 645 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (137464541) and next prime (137464543).

It is a junction number, because it is equal to n+sod(n) for n = 137464497 and 137464506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137464541) 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 11 ways as a sum of consecutive naturals, for example, 8434 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (12427740).

Almost surely, 2137464542 is an apocalyptic number.

137464542 is an abundant number, since it is smaller than the sum of its proper divisors (160801218).

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

137464542 is a wasteful number, since it uses less digits than its factorization.

137464542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10925 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 137464542 is about 11724.5273678729. The cubic root of 137464542 is about 516.0956871402.

The spelling of 137464542 in words is "one hundred thirty-seven million, four hundred sixty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 751 1502 2253 4506 6759 10169 13518 20338 30507 61014 91521 183042 7636919 15273838 22910757 45821514 68732271 137464542