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137345792 = 28975531
BaseRepresentation
bin10000010111110…
…11101100000000
3100120102220000012
420023323230000
5240130031132
621343444052
73255264023
oct1013735400
9316386005
10137345792
1170589a21
1239bb6628
13225bb1cc
14143531ba
15c0d00b2
hex82fbb00

137345792 has 36 divisors (see below), whose sum is σ = 277031496. Its totient is φ = 67952640.

The previous prime is 137345783. The next prime is 137345821. The reversal of 137345792 is 297543731.

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, 22067 + ... + 27597.

Almost surely, 2137345792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138515748).

137345792 is an abundant number, since it is smaller than the sum of its proper divisors (139685704).

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

137345792 is an frugal number, since it uses more digits than its factorization.

137345792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5630 counting only the distinct ones).

The product of its digits is 158760, while the sum is 41.

The square root of 137345792 is about 11719.4621036974. The cubic root of 137345792 is about 515.9470330024.

The spelling of 137345792 in words is "one hundred thirty-seven million, three hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 5531 6208 11062 12416 22124 24832 44248 88496 176992 353984 536507 707968 1073014 1415936 2146028 4292056 8584112 17168224 34336448 68672896 137345792