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1132135523640 = 2333511237140193
BaseRepresentation
bin10000011110011000100…
…010010010010100111000
311000020020110201111211000
4100132120202102110320
5122022103143224030
62224032413205000
7144536242112562
oct20363042222470
94006213644730
101132135523640
113a7154a965a0
121634b9a90760
13829b5718414
143cb1d3a8332
151e6b1d0c860
hex10798892538

1132135523640 has 256 divisors, whose sum is σ = 4118695257600. Its totient is φ = 274334515200.

The previous prime is 1132135523639. The next prime is 1132135523647. The reversal of 1132135523640 is 463255312311.

1132135523640 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 1 + 3 + 5 + 5 + 2 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1132135523595 and 1132135523604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132135523647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28147384 + ... + 28187576.

It is an arithmetic number, because the mean of its divisors is an integer number (16088653350).

Almost surely, 21132135523640 is an apocalyptic number.

1132135523640 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 1132135523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059347628800).

1132135523640 is an abundant number, since it is smaller than the sum of its proper divisors (2986559733960).

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

1132135523640 is a wasteful number, since it uses less digits than its factorization.

1132135523640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42595 (or 42585 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1132135523640 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-five million, five hundred twenty-three thousand, six hundred forty".