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133150542 = 2373232997
BaseRepresentation
bin1111110111110…
…11011101001110
3100021112202012120
413323323131032
5233041304132
621113513410
73204522000
oct773733516
9307482176
10133150542
1169183a78
1238712866
132177c805
1413980370
15ba5202c
hex7efb74e

133150542 has 128 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 34771968.

The previous prime is 133150529. The next prime is 133150547. The reversal of 133150542 is 245051331.

133150542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133150547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1372638 + ... + 1372734.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2133150542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133150542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

133150542 is an abundant number, since it is smaller than the sum of its proper divisors (205537458).

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

133150542 is a wasteful number, since it uses less digits than its factorization.

133150542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 133150542 is about 11539.0875722476. The cubic root of 133150542 is about 510.6393902910.

The spelling of 133150542 in words is "one hundred thirty-three million, one hundred fifty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 49 58 69 87 97 98 138 147 161 174 194 203 291 294 322 343 406 483 582 609 667 679 686 966 1029 1127 1218 1334 1358 1421 2001 2037 2058 2231 2254 2813 2842 3381 4002 4074 4263 4462 4669 4753 5626 6693 6762 7889 8439 8526 9338 9506 9947 13386 14007 14259 15617 15778 16878 19691 19894 23667 28014 28518 29841 31234 32683 33271 39382 46851 47334 59073 59682 64699 65366 66542 93702 98049 99813 109319 118146 129398 137837 194097 196098 199626 218638 228781 275674 327957 388194 413511 452893 457562 655914 686343 765233 827022 905786 964859 1358679 1372686 1530466 1929718 2295699 2717358 2894577 3170251 4591398 5789154 6340502 9510753 19021506 22191757 44383514 66575271 133150542