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137374740 = 223252926317
BaseRepresentation
bin10000011000000…
…10110000010100
3100120111100201100
420030002300110
5240131442430
621344230100
73255444306
oct1014026024
9316440640
10137374740
11705a9748
123a00b330
13225cb439
141435d976
15c0d8960
hex8302c14

137374740 has 72 divisors (see below), whose sum is σ = 431088840. Its totient is φ = 35368704.

The previous prime is 137374717. The next prime is 137374751. The reversal of 137374740 is 47473731.

It can be written as a sum of positive squares in 4 ways, for example, as 21511044 + 115863696 = 4638^2 + 10764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137374695 and 137374704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7939 + ... + 18378.

It is an arithmetic number, because the mean of its divisors is an integer number (5987345).

Almost surely, 2137374740 is an apocalyptic number.

137374740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137374740 is an abundant number, since it is smaller than the sum of its proper divisors (293714100).

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

137374740 is a wasteful number, since it uses less digits than its factorization.

137374740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26361 (or 26356 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 137374740 is about 11720.6970782458. The cubic root of 137374740 is about 515.9832787082.

The spelling of 137374740 in words is "one hundred thirty-seven million, three hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 26317 52634 78951 105268 131585 157902 236853 263170 315804 394755 473706 526340 763193 789510 947412 1184265 1526386 1579020 2289579 2368530 3052772 3815965 4579158 4737060 6868737 7631930 9158316 11447895 13737474 15263860 22895790 27474948 34343685 45791580 68687370 137374740