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131535000156 = 22374371512903
BaseRepresentation
bin111101010000000011…
…0001101001001011100
3110120111220022022222110
41322200012031021130
54123340430001111
6140232031314020
712334363024320
oct1724006151134
9416456268873
10131535000156
11508690954aa
12215aa97b910
13c532bcc951
14651b2bd980
15364c9c35a6
hex1ea018d25c

131535000156 has 96 divisors (see below), whose sum is σ = 363973091328. Its totient is φ = 36190365120.

The previous prime is 131535000139. The next prime is 131535000187. The reversal of 131535000156 is 651000535131.

131535000156 is a nontrivial binomial coefficient, being equal to C(512904, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1 + ... + 512903.

It is an arithmetic number, because the mean of its divisors is an integer number (3791386368).

Almost surely, 2131535000156 is an apocalyptic number.

131535000156 is the 512903-rd triangular number and also the 256452-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131535000156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181986545664).

131535000156 is an abundant number, since it is smaller than the sum of its proper divisors (232438091172).

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

131535000156 is a wasteful number, since it uses less digits than its factorization.

131535000156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513031 (or 513029 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

Adding to 131535000156 its reverse (651000535131), we get a palindrome (782535535287).

The spelling of 131535000156 in words is "one hundred thirty-one billion, five hundred thirty-five million, one hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 71 84 86 129 142 172 213 258 284 301 426 497 516 602 852 903 994 1204 1491 1806 1988 2982 3053 3612 5964 6106 9159 12212 18318 21371 36636 42742 64113 85484 128226 256452 512903 1025806 1538709 2051612 3077418 3590321 6154836 7180642 10770963 14361284 21541926 22054829 36416113 43083852 44109658 66164487 72832226 88219316 109248339 132328974 145664452 154383803 218496678 254912791 264657948 308767606 436993356 463151409 509825582 617535212 764738373 926302818 1019651164 1529476746 1565892859 1852605636 3058953492 3131785718 4697678577 6263571436 9395357154 10961250013 18790714308 21922500026 32883750039 43845000052 65767500078 131535000156