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137978022 = 23721322777
BaseRepresentation
bin10000011100101…
…10000010100110
3100121122000021010
420032112002212
5240310244042
621405203050
73263536200
oct1016260246
9317560233
10137978022
1170980a26
123a260486
132277cc00
1414479770
15c1a759c
hex83960a6

137978022 has 72 divisors (see below), whose sum is σ = 347727816. Its totient is φ = 36376704.

The previous prime is 137978017. The next prime is 137978039. The reversal of 137978022 is 220879731.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 13.

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 in 35 ways as a sum of consecutive naturals, for example, 48298 + ... + 51074.

It is an arithmetic number, because the mean of its divisors is an integer number (4829553).

Almost surely, 2137978022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137978022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173863908).

137978022 is an abundant number, since it is smaller than the sum of its proper divisors (209749794).

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

137978022 is a wasteful number, since it uses less digits than its factorization.

137978022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 137978022 is about 11746.4046414211. The cubic root of 137978022 is about 516.7374903028.

It can be divided in two parts, 1379 and 78022, that added together give a triangular number (79401 = T398).

The spelling of 137978022 in words is "one hundred thirty-seven million, nine hundred seventy-eight thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 169 182 273 294 338 507 546 637 1014 1183 1274 1911 2366 2777 3549 3822 5554 7098 8281 8331 16562 16662 19439 24843 36101 38878 49686 58317 72202 108303 116634 136073 216606 252707 272146 408219 469313 505414 758121 816438 938626 1407939 1516242 1768949 2815878 3285191 3537898 5306847 6570382 9855573 10613694 19711146 22996337 45992674 68989011 137978022