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136402542 = 23431157173
BaseRepresentation
bin10000010000101…
…01011001101110
3100111122222010000
420020111121232
5234404340132
621311325130
73244255023
oct1010253156
9314588100
10136402542
116aaa5281
12398207a6
132234aa83
141418954a
15be9587c
hex821566e

136402542 has 80 divisors (see below), whose sum is σ = 319347072. Its totient is φ = 43467840.

The previous prime is 136402529. The next prime is 136402547. The reversal of 136402542 is 245204631.

136402542 is a `hidden beast` number, since 13 + 640 + 2 + 5 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

136402542 is a modest number, since divided by 2542 gives 1364 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136402547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 788368 + ... + 788540.

Almost surely, 2136402542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136402542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159673536).

136402542 is an abundant number, since it is smaller than the sum of its proper divisors (182944530).

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

136402542 is a wasteful number, since it uses less digits than its factorization.

136402542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 136402542 is about 11679.1498834461. The cubic root of 136402542 is about 514.7631952432.

The spelling of 136402542 in words is "one hundred thirty-six million, four hundred two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 157 162 173 186 279 314 346 471 519 558 837 942 1038 1413 1557 1674 2511 2826 3114 4239 4671 4867 5022 5363 8478 9342 9734 10726 12717 14013 14601 16089 25434 27161 28026 29202 32178 43803 48267 54322 81483 87606 96534 131409 144801 162966 244449 262818 289602 394227 434403 488898 733347 788454 841991 868806 1466694 1683982 2200041 2525973 4400082 5051946 7577919 15155838 22733757 45467514 68201271 136402542