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137353296 = 2437339199
BaseRepresentation
bin10000010111111…
…01100001010000
3100120110021022010
420023331201100
5240130301141
621343542520
73255324633
oct1013754120
9316407263
10137353296
1170594623
1239bbaa40
13225c1752
1414355c1a
15c0d2416
hex82fd850

137353296 has 40 divisors (see below), whose sum is σ = 359699200. Its totient is φ = 45156096.

The previous prime is 137353291. The next prime is 137353301. The reversal of 137353296 is 692353731.

It is an interprime number because it is at equal distance from previous prime (137353291) and next prime (137353301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137353291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16096 + ... + 23103.

It is an arithmetic number, because the mean of its divisors is an integer number (8992480).

Almost surely, 2137353296 is an apocalyptic number.

137353296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137353296 is an abundant number, since it is smaller than the sum of its proper divisors (222345904).

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

137353296 is a wasteful number, since it uses less digits than its factorization.

137353296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39283 (or 39277 counting only the distinct ones).

The product of its digits is 102060, while the sum is 39.

The square root of 137353296 is about 11719.7822505369. The cubic root of 137353296 is about 515.9564292277.

The spelling of 137353296 in words is "one hundred thirty-seven million, three hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 39199 78398 117597 156796 235194 313592 470388 627184 940776 1881552 2861527 5723054 8584581 11446108 17169162 22892216 34338324 45784432 68676648 137353296