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137250880 = 2651332993
BaseRepresentation
bin10000010111001…
…00100001000000
3100120021001210221
420023210201000
5240114012010
621341432424
73254420224
oct1013444100
9316231727
10137250880
1170524688
1239b6b714
1322586c50
141432a784
15c0b1dda
hex82e4840

137250880 has 56 divisors (see below), whose sum is σ = 351979992. Its totient is φ = 50675712.

The previous prime is 137250863. The next prime is 137250923. The reversal of 137250880 is 88052731.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 134374464 = 1696^2 + 11592^2 .

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, 12337 + ... + 20656.

It is an arithmetic number, because the mean of its divisors is an integer number (6285357).

Almost surely, 2137250880 is an apocalyptic number.

137250880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137250880 is an abundant number, since it is smaller than the sum of its proper divisors (214729112).

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

137250880 is a wasteful number, since it uses less digits than its factorization.

137250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33023 (or 33013 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 137250880 is about 11715.4120712846. The cubic root of 137250880 is about 515.8281582303.

The spelling of 137250880 in words is "one hundred thirty-seven million, two hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 32993 65986 131972 164965 263944 329930 428909 527888 659860 857818 1055776 1319720 1715636 2111552 2144545 2639440 3431272 4289090 5278880 6862544 8578180 10557760 13725088 17156360 27450176 34312720 68625440 137250880