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137813022 = 2334359351
BaseRepresentation
bin10000011011011…
…01110000011110
3100121022121221000
420031231300132
5240240004042
621401451130
73262251144
oct1015556036
9317277830
10137813022
1170878a66
123a1a0aa6
1322722a89
1414435594
15c17374c
hex836dc1e

137813022 has 32 divisors (see below), whose sum is σ = 313378560. Its totient is φ = 44868600.

The previous prime is 137813021. The next prime is 137813057. The reversal of 137813022 is 220318731.

137813022 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137813021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27354 + ... + 31997.

It is an arithmetic number, because the mean of its divisors is an integer number (9793080).

Almost surely, 2137813022 is an apocalyptic number.

137813022 is an abundant number, since it is smaller than the sum of its proper divisors (175565538).

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

137813022 is a wasteful number, since it uses less digits than its factorization.

137813022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59405 (or 59399 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137813022 is about 11739.3791147573. The cubic root of 137813022 is about 516.5314292365.

It can be divided in two parts, 1378 and 13022, that added together give a square (14400 = 1202).

The spelling of 137813022 in words is "one hundred thirty-seven million, eight hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 59351 118702 178053 356106 534159 1068318 1602477 2552093 3204954 5104186 7656279 15312558 22968837 45937674 68906511 137813022