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134435133140 = 2257112512931187
BaseRepresentation
bin111110100110011110…
…1010101011011010100
3110212000000102100112012
41331030331111123110
54200310343230030
6141431511243352
712466266530450
oct1751475253324
9425000370465
10134435133140
1152017145320
122207a079558
13c8a59b9079
14671452b660
15376c3dc095
hex1f4cf556d4

134435133140 has 192 divisors, whose sum is σ = 354882705408. Its totient is φ = 41557440000.

The previous prime is 134435133097. The next prime is 134435133143. The reversal of 134435133140 is 41331534431.

It is a junction number, because it is equal to n+sod(n) for n = 134435133097 and 134435133106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134435133143) 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, 113255627 + ... + 113256813.

It is an arithmetic number, because the mean of its divisors is an integer number (1848347424).

Almost surely, 2134435133140 is an apocalyptic number.

134435133140 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 134435133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177441352704).

134435133140 is an abundant number, since it is smaller than the sum of its proper divisors (220447572268).

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

134435133140 is a wasteful number, since it uses less digits than its factorization.

134435133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 134435133140 its reverse (41331534431), we get a palindrome (175766667571).

The spelling of 134435133140 in words is "one hundred thirty-four billion, four hundred thirty-five million, one hundred thirty-three thousand, one hundred forty".