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135649694400 = 263521119235879
BaseRepresentation
bin111111001010101011…
…0100001001011000000
3110222010122211110100120
41332111112201023000
54210302310210100
6142152215420240
712541345243413
oct1762526411300
9428118743316
10135649694400
115258a797160
1222358984680
13ca3a50b27c
1467cb96bb7a
1537ddd520a0
hex1f955a12c0

135649694400 has 672 divisors, whose sum is σ = 533365862400. Its totient is φ = 29794406400.

The previous prime is 135649694363. The next prime is 135649694437. The reversal of 135649694400 is 4496946531.

It is an interprime number because it is at equal distance from previous prime (135649694363) and next prime (135649694437).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23070661 + ... + 23076539.

It is an arithmetic number, because the mean of its divisors is an integer number (793699200).

Almost surely, 2135649694400 is an apocalyptic number.

135649694400 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 135649694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266682931200).

135649694400 is an abundant number, since it is smaller than the sum of its proper divisors (397716168000).

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

135649694400 is a wasteful number, since it uses less digits than its factorization.

135649694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 135649694400 in words is "one hundred thirty-five billion, six hundred forty-nine million, six hundred ninety-four thousand, four hundred".