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134125410120 = 23351328974311
BaseRepresentation
bin111110011101001111…
…1110101011101001000
3110211012102121210102020
41330322133311131020
54144142101110440
6141341045004440
712455516114052
oct1747237653510
9424172553366
10134125410120
115197832a889
1221bb23b3720
13c856795800
1466c53468d2
15375010c3d0
hex1f3a7f5748

134125410120 has 192 divisors, whose sum is σ = 440610710400. Its totient is φ = 32644085760.

The previous prime is 134125410101. The next prime is 134125410127. The reversal of 134125410120 is 21014521431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (134125410127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1767765 + ... + 1842075.

It is an arithmetic number, because the mean of its divisors is an integer number (2294847450).

Almost surely, 2134125410120 is an apocalyptic number.

134125410120 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 134125410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220305355200).

134125410120 is an abundant number, since it is smaller than the sum of its proper divisors (306485300280).

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

134125410120 is a wasteful number, since it uses less digits than its factorization.

134125410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74440 (or 74423 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 134125410120 its reverse (21014521431), we get a palindrome (155139931551).

The spelling of 134125410120 in words is "one hundred thirty-four billion, one hundred twenty-five million, four hundred ten thousand, one hundred twenty".