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137572245 = 32517179833
BaseRepresentation
bin10000011001100…
…10111110010101
3100120212101122100
420030302332111
5240204302440
621352352313
73260226156
oct1014627625
9316771570
10137572245
1170724078
123a0a5699
132266a2c5
14143b192d
15c127230
hex8332f95

137572245 has 24 divisors (see below), whose sum is σ = 252486936. Its totient is φ = 69055488.

The previous prime is 137572231. The next prime is 137572271. The reversal of 137572245 is 542275731.

137572245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37051569 + 100520676 = 6087^2 + 10026^2 .

It is not a de Polignac number, because 137572245 - 24 = 137572229 is a prime.

It is a super-2 number, since 2×1375722452 = 37852245188680050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89152 + ... + 90681.

It is an arithmetic number, because the mean of its divisors is an integer number (10520289).

Almost surely, 2137572245 is an apocalyptic number.

137572245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137572245 is a deficient number, since it is larger than the sum of its proper divisors (114914691).

137572245 is a wasteful number, since it uses less digits than its factorization.

137572245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179861 (or 179858 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 137572245 is about 11729.1195321729. The cubic root of 137572245 is about 516.2304383577.

The spelling of 137572245 in words is "one hundred thirty-seven million, five hundred seventy-two thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 179833 539499 899165 1618497 2697495 3057161 8092485 9171483 15285805 27514449 45857415 137572245