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133857448560 = 243351137433541
BaseRepresentation
bin111110010101010000…
…1101001001001110000
3110210111202101221021000
41330222201221021300
54143120001323220
6141254313402000
712446053353033
oct1745241511160
9423452357230
10133857448560
1151850049350
1221b38709300
13c813104784
14669b91301a
15373682b390
hex1f2a869270

133857448560 has 640 divisors, whose sum is σ = 528736158720. Its totient is φ = 30830284800.

The previous prime is 133857448559. The next prime is 133857448607. The reversal of 133857448560 is 65844758331.

133857448560 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 5 + 74 + 4 + 8 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 133857448497 and 133857448506.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 37800390 + ... + 37803930.

It is an arithmetic number, because the mean of its divisors is an integer number (826150248).

Almost surely, 2133857448560 is an apocalyptic number.

133857448560 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 133857448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264368079360).

133857448560 is an abundant number, since it is smaller than the sum of its proper divisors (394878710160).

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

133857448560 is a wasteful number, since it uses less digits than its factorization.

133857448560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 133857448560 in words is "one hundred thirty-three billion, eight hundred fifty-seven million, four hundred forty-eight thousand, five hundred sixty".