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134438532120 = 23325373440367
BaseRepresentation
bin111110100110100101…
…0010011010000011000
3110212000020211001001100
41331031022103100120
54200312231011440
6141432112151400
712466340445144
oct1751512232030
9425006731040
10134438532120
1152019056aa2
122207b238560
13c8a66091b9
146714b74224
15376c85e230
hex1f4d293418

134438532120 has 48 divisors (see below), whose sum is σ = 436925230560. Its totient is φ = 35850275136.

The previous prime is 134438532119. The next prime is 134438532139. The reversal of 134438532120 is 21235834431.

134438532120 is a `hidden beast` number, since 1 + 3 + 4 + 438 + 5 + 3 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 186719824 + ... + 186720543.

It is an arithmetic number, because the mean of its divisors is an integer number (9102608970).

Almost surely, 2134438532120 is an apocalyptic number.

134438532120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134438532120 is an abundant number, since it is smaller than the sum of its proper divisors (302486698440).

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

134438532120 is a wasteful number, since it uses less digits than its factorization.

134438532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373440384 (or 373440377 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 134438532120 in words is "one hundred thirty-four billion, four hundred thirty-eight million, five hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 373440367 746880734 1120321101 1493761468 1867201835 2240642202 2987522936 3360963303 3734403670 4481284404 5601605505 6721926606 7468807340 8962568808 11203211010 13443853212 14937614680 16804816515 22406422020 26887706424 33609633030 44812844040 67219266060 134438532120