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132140970 = 2355134789
BaseRepresentation
bin1111110000001…
…00111110101010
3100012122110100000
413320010332222
5232312002340
621040123430
73163115433
oct770047652
9305573300
10132140970
1168654515
1238306576
13214b8130
141379a48a
15b902d30
hex7e04faa

132140970 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 31477248.

The previous prime is 132140969. The next prime is 132140971. The reversal of 132140970 is 79041231.

It is an interprime number because it is at equal distance from previous prime (132140969) and next prime (132140971).

It is a super-2 number, since 2×1321409702 = 34922471905081800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132140971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1484686 + ... + 1484774.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2132140970 is an apocalyptic number.

132140970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132140970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

132140970 is an abundant number, since it is smaller than the sum of its proper divisors (264123990).

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

132140970 is a wasteful number, since it uses less digits than its factorization.

132140970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132140970 is about 11495.2585877831. The cubic root of 132140970 is about 509.3455272696.

The spelling of 132140970 in words is "one hundred thirty-two million, one hundred forty thousand, nine hundred seventy".