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137342700 = 2232521113873
BaseRepresentation
bin10000010111110…
…10111011101100
3100120102201202200
420023322323230
5240124431300
621343421500
73255252015
oct1013727354
9316381680
10137342700
1170587670
1239bb4890
13225b9991
141435200c
15c0ce200
hex82faeec

137342700 has 108 divisors (see below), whose sum is σ = 469662648. Its totient is φ = 33292800.

The previous prime is 137342693. The next prime is 137342713. The reversal of 137342700 is 7243731.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2964 + ... + 16836.

Almost surely, 2137342700 is an apocalyptic number.

137342700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137342700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234831324).

137342700 is an abundant number, since it is smaller than the sum of its proper divisors (332319948).

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

137342700 is a wasteful number, since it uses less digits than its factorization.

137342700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904 (or 13894 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137342700 is about 11719.3301856377. The cubic root of 137342700 is about 515.9431612172.

The spelling of 137342700 in words is "one hundred thirty-seven million, three hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 13873 27746 41619 55492 69365 83238 124857 138730 152603 166476 208095 249714 277460 305206 346825 416190 457809 499428 610412 624285 693650 763015 832380 915618 1040475 1248570 1373427 1387300 1526030 1831236 2080950 2289045 2497140 2746854 3052060 3121425 3815075 4161900 4578090 5493708 6242850 6867135 7630150 9156180 11445225 12485700 13734270 15260300 22890450 27468540 34335675 45780900 68671350 137342700