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135568457388 = 223273132373503
BaseRepresentation
bin111111001000010000…
…0100111111010101100
3110221220222222012010100
41332100200213322230
54210121011114023
6142140154311100
712536340606000
oct1762040477254
9427828865110
10135568457388
1152548950631
1222335728490
13ca26736b30
1467c0c62700
1537d6b56c43
hex1f90827eac

135568457388 has 576 divisors, whose sum is σ = 456144998400. Its totient is φ = 33664232448.

The previous prime is 135568457371. The next prime is 135568457413. The reversal of 135568457388 is 883754865531.

135568457388 is a `hidden beast` number, since 1 + 3 + 5 + 56 + 8 + 4 + 573 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269519545 + ... + 269520047.

It is an arithmetic number, because the mean of its divisors is an integer number (791918400).

Almost surely, 2135568457388 is an apocalyptic number.

135568457388 is a gapful number since it is divisible by the number (18) 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 135568457388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228072499200).

135568457388 is an abundant number, since it is smaller than the sum of its proper divisors (320576541012).

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

135568457388 is a wasteful number, since it uses less digits than its factorization.

135568457388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 135568457388 in words is "one hundred thirty-five billion, five hundred sixty-eight million, four hundred fifty-seven thousand, three hundred eighty-eight".