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133136370 = 23256722079
BaseRepresentation
bin1111110111101…
…11111111110010
3100021112000202200
413323313333302
5233040330440
621113324030
73204432453
oct773677762
9307460680
10133136370
1169174364
1238706616
1321776223
141397912a
15ba4cc30
hex7ef7ff2

133136370 has 48 divisors (see below), whose sum is σ = 351336960. Its totient is φ = 34971552.

The previous prime is 133136369. The next prime is 133136387. The reversal of 133136370 is 73631331.

133136370 is a `hidden beast` number, since 13 + 3 + 13 + 637 + 0 = 666.

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, 5010 + ... + 17069.

It is an arithmetic number, because the mean of its divisors is an integer number (7319520).

Almost surely, 2133136370 is an apocalyptic number.

133136370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133136370 is an abundant number, since it is smaller than the sum of its proper divisors (218200590).

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

133136370 is a wasteful number, since it uses less digits than its factorization.

133136370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22159 (or 22156 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 133136370 is about 11538.4734692246. The cubic root of 133136370 is about 510.6212728577.

It can be divided in two parts, 13313 and 6370, that added together give a 9-th power (19683 = 39).

The spelling of 133136370 in words is "one hundred thirty-three million, one hundred thirty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 22079 44158 66237 110395 132474 198711 220790 331185 397422 662370 993555 1479293 1987110 2958586 4437879 7396465 8875758 13313637 14792930 22189395 26627274 44378790 66568185 133136370