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131552505 = 34573947
BaseRepresentation
bin1111101011101…
…01010011111001
3100011112120010000
413311311103321
5232134140010
621015343213
73155115000
oct765652371
9304476100
10131552505
1168292387
1238081b09
1321340326
1413685c37
15b8387c0
hex7d754f9

131552505 has 80 divisors (see below), whose sum is σ = 275299200. Its totient is φ = 60074784.

The previous prime is 131552503. The next prime is 131552513. The reversal of 131552505 is 505255131.

131552505 is a `hidden beast` number, since 1 + 3 + 155 + 2 + 505 = 666.

It is not a de Polignac number, because 131552505 - 21 = 131552503 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131552503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138442 + ... + 139388.

It is an arithmetic number, because the mean of its divisors is an integer number (3441240).

Almost surely, 2131552505 is an apocalyptic number.

131552505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131552505 is an abundant number, since it is smaller than the sum of its proper divisors (143746695).

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

131552505 is an frugal number, since it uses more digits than its factorization.

131552505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 131552505 is about 11469.6340394975. The cubic root of 131552505 is about 508.5883105558.

The spelling of 131552505 in words is "one hundred thirty-one million, five hundred fifty-two thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 343 405 441 567 735 945 947 1029 1323 1715 2205 2835 2841 3087 3969 4735 5145 6615 6629 8523 9261 14205 15435 19845 19887 25569 27783 33145 42615 46305 46403 59661 76707 99435 127845 138915 139209 178983 232015 298305 324821 383535 417627 536949 696045 894915 974463 1252881 1624105 2088135 2684745 2923389 3758643 4872315 6264405 8770167 14616945 18793215 26310501 43850835 131552505