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131068152 = 2333531072
BaseRepresentation
bin1111100111111…
…11000011111000
3100010121221201000
413303333003320
5232023140102
621001125000
73151026615
oct763770370
9303557630
10131068152
1167a91496
1237a89760
1321200a27
141359b50c
15b79001c
hex7cff0f8

131068152 has 96 divisors (see below), whose sum is σ = 374446800. Its totient is φ = 42464448.

The previous prime is 131068141. The next prime is 131068159. The reversal of 131068152 is 251860131.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131068159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224883 + ... + 1224989.

Almost surely, 2131068152 is an apocalyptic number.

131068152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 11448×11449.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131068152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187223400).

131068152 is an abundant number, since it is smaller than the sum of its proper divisors (243378648).

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

131068152 is a wasteful number, since it uses less digits than its factorization.

131068152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 131068152 is about 11448.4999890815. The cubic root of 131068152 is about 507.9633656182.

The spelling of 131068152 in words is "one hundred thirty-one million, sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 107 108 159 212 214 216 318 321 424 428 477 636 642 856 954 963 1272 1284 1431 1908 1926 2568 2862 2889 3816 3852 5671 5724 5778 7704 11342 11448 11449 11556 17013 22684 22898 23112 34026 34347 45368 45796 51039 68052 68694 91592 102078 103041 136104 137388 153117 204156 206082 274776 306234 309123 408312 412164 606797 612468 618246 824328 1213594 1224936 1236492 1820391 2427188 2472984 3640782 4854376 5461173 7281564 10922346 14563128 16383519 21844692 32767038 43689384 65534076 131068152