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137337616 = 2413660277
BaseRepresentation
bin10000010111110…
…01101100010000
3100120102110210101
420023321230100
5240124300431
621343342144
73255231133
oct1013715420
9316373711
10137337616
1170583869
1239bb1954
13225b7580
141435021a
15c0cc961
hex82f9b10

137337616 has 20 divisors (see below), whose sum is σ = 286560652. Its totient is φ = 63386496.

The previous prime is 137337593. The next prime is 137337647. The reversal of 137337616 is 616733731.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 73273600 = 8004^2 + 8560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329931 + ... + 330346.

Almost surely, 2137337616 is an apocalyptic number.

137337616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137337616 is an abundant number, since it is smaller than the sum of its proper divisors (149223036).

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

137337616 is a wasteful number, since it uses less digits than its factorization.

137337616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660298 (or 660292 counting only the distinct ones).

The product of its digits is 47628, while the sum is 37.

The square root of 137337616 is about 11719.1132770359. The cubic root of 137337616 is about 515.9367949344.

The spelling of 137337616 in words is "one hundred thirty-seven million, three hundred thirty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 660277 1320554 2641108 5282216 8583601 10564432 17167202 34334404 68668808 137337616