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134480407385376 = 25331326574506199
BaseRepresentation
bin11110100100111100101000…
…111010010101010100100000
3122122011012102210221202101000
4132210330220322111110200
5120111311333242313001
61154003240221312000
740216613601131643
oct3644745072252440
9578135383852330
10134480407385376
11399389030879a8
12130bb254405600
135a065a934caa0
14252cc5a5a3a5a
15108322608ca86
hex7a4f28e95520

134480407385376 has 192 divisors, whose sum is σ = 422565480288000. Its totient is φ = 41363004284928.

The previous prime is 134480407385371. The next prime is 134480407385417. The reversal of 134480407385376 is 673583704084431.

134480407385376 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 80 + 40 + 73 + 85 + 376 = 666.

It is a super-2 number, since 2×1344804073853762 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (134480407385371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27590325 + ... + 32096523.

It is an arithmetic number, because the mean of its divisors is an integer number (2200861876500).

Almost surely, 2134480407385376 is an apocalyptic number.

134480407385376 is a gapful number since it is divisible by the number (16) 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 134480407385376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211282740144000).

134480407385376 is an abundant number, since it is smaller than the sum of its proper divisors (288085072902624).

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

134480407385376 is a wasteful number, since it uses less digits than its factorization.

134480407385376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508888 (or 4508874 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 134480407385376 in words is "one hundred thirty-four trillion, four hundred eighty billion, four hundred seven million, three hundred eighty-five thousand, three hundred seventy-six".