Search a number
-
+
137235296 = 2511223267
BaseRepresentation
bin10000010111000…
…00101101100000
3100120020021102202
420023200231200
5240113012141
621341232332
73254323622
oct1013405540
9316207382
10137235296
1170513a00
1239b626a8
132257cb23
1414324c12
15c0ac49b
hex82e0b60

137235296 has 108 divisors (see below), whose sum is σ = 315083916. Its totient is φ = 58776960.

The previous prime is 137235277. The next prime is 137235313. The reversal of 137235296 is 692532731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2048255 + ... + 2048321.

Almost surely, 2137235296 is an apocalyptic number.

137235296 is a gapful number since it is divisible by the number (16) 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 137235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157541958).

137235296 is an abundant number, since it is smaller than the sum of its proper divisors (177848620).

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

137235296 is a wasteful number, since it uses less digits than its factorization.

137235296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its digits is 68040, while the sum is 38.

The square root of 137235296 is about 11714.7469456237. The cubic root of 137235296 is about 515.8086344446.

The spelling of 137235296 in words is "one hundred thirty-seven million, two hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 67 88 92 121 134 176 184 242 253 268 352 368 484 506 529 536 736 737 968 1012 1058 1072 1474 1541 1936 2024 2116 2144 2783 2948 3082 3872 4048 4232 5566 5819 5896 6164 8096 8107 8464 11132 11638 11792 12328 16214 16928 16951 22264 23276 23584 24656 32428 33902 35443 44528 46552 49312 64009 64856 67804 70886 89056 93104 128018 129712 135608 141772 186208 186461 256036 259424 271216 283544 372922 389873 512072 542432 567088 745844 779746 1024144 1134176 1491688 1559492 2048288 2983376 3118984 4288603 5966752 6237968 8577206 12475936 17154412 34308824 68617648 137235296