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137348080 = 2457124181
BaseRepresentation
bin10000010111111…
…00001111110000
3100120110000010221
420023330033300
5240130114310
621343502424
73255303502
oct1013741760
9316400127
10137348080
1170590711
1239bb7a14
13225bc26c
1414353d72
15c0d0ada
hex82fc3f0

137348080 has 40 divisors (see below), whose sum is σ = 323845344. Its totient is φ = 54163200.

The previous prime is 137348077. The next prime is 137348143. The reversal of 137348080 is 80843731.

137348080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6411 + ... + 17770.

Almost surely, 2137348080 is an apocalyptic number.

137348080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137348080 is an abundant number, since it is smaller than the sum of its proper divisors (186497264).

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

137348080 is a wasteful number, since it uses less digits than its factorization.

137348080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24265 (or 24259 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 137348080 is about 11719.5597186925. The cubic root of 137348080 is about 515.9498979858.

The spelling of 137348080 in words is "one hundred thirty-seven million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 24181 48362 96724 120905 193448 241810 386896 483620 967240 1716851 1934480 3433702 6867404 8584255 13734808 17168510 27469616 34337020 68674040 137348080