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133159992 = 23374318433
BaseRepresentation
bin1111110111111…
…01110000111000
3100021120020011120
413323331300320
5233042104432
621114025240
73204561360
oct773756070
9307506146
10133159992
1169190089
1238718220
1321783bc4
14139839a0
15ba54c2c
hex7efdc38

133159992 has 64 divisors (see below), whose sum is σ = 389326080. Its totient is φ = 37158912.

The previous prime is 133159981. The next prime is 133159993. The reversal of 133159992 is 299951331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133159993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993 + ... + 16440.

It is an arithmetic number, because the mean of its divisors is an integer number (6083220).

Almost surely, 2133159992 is an apocalyptic number.

133159992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133159992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194663040).

133159992 is an abundant number, since it is smaller than the sum of its proper divisors (256166088).

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

133159992 is a wasteful number, since it uses less digits than its factorization.

133159992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18492 (or 18488 counting only the distinct ones).

The product of its digits is 65610, while the sum is 42.

The square root of 133159992 is about 11539.4970427658. The cubic root of 133159992 is about 510.6514704223.

The spelling of 133159992 in words is "one hundred thirty-three million, one hundred fifty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 18433 36866 55299 73732 110598 129031 147464 221196 258062 387093 442392 516124 774186 792619 1032248 1548372 1585238 2377857 3096744 3170476 4755714 5548333 6340952 9511428 11096666 16644999 19022856 22193332 33289998 44386664 66579996 133159992