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132136060 = 22576714087
BaseRepresentation
bin1111110000000…
…11110001111100
3100012122012121011
413320003301330
5232311323220
621040045004
73163065220
oct770036174
9305565534
10132136060
1168650861
1238303764
13214b5b24
1413798780
15b90165a
hex7e03c7c

132136060 has 48 divisors (see below), whose sum is σ = 321882624. Its totient is φ = 44624448.

The previous prime is 132136057. The next prime is 132136063. The reversal of 132136060 is 60631231.

It is an interprime number because it is at equal distance from previous prime (132136057) and next prime (132136063).

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 (132136063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 16423.

It is an arithmetic number, because the mean of its divisors is an integer number (6705888).

Almost surely, 2132136060 is an apocalyptic number.

132136060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132136060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160941312).

132136060 is an abundant number, since it is smaller than the sum of its proper divisors (189746564).

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

132136060 is a wasteful number, since it uses less digits than its factorization.

132136060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14170 (or 14168 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 132136060 is about 11495.0450194856. The cubic root of 132136060 is about 509.3392185587.

Adding to 132136060 its reverse (60631231), we get a palindrome (192767291).

The spelling of 132136060 in words is "one hundred thirty-two million, one hundred thirty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 14087 28174 56348 70435 98609 140870 197218 281740 394436 493045 943829 986090 1887658 1972180 3775316 4719145 6606803 9438290 13213606 18876580 26427212 33034015 66068030 132136060