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135372870 = 23551729113
BaseRepresentation
bin10000001000110…
…10000001000110
3100102201122200000
420010122001012
5234123412440
621233302130
73232436043
oct1004320106
9312648600
10135372870
116a461706
1239404946
132207a1b9
1413d9c1ca
15bd40730
hex811a046

135372870 has 192 divisors, whose sum is σ = 403341120. Its totient is φ = 32514048.

The previous prime is 135372863. The next prime is 135372883. The reversal of 135372870 is 78273531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1197934 + ... + 1198046.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2135372870 is an apocalyptic number.

135372870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135372870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

135372870 is an abundant number, since it is smaller than the sum of its proper divisors (267968250).

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

135372870 is a wasteful number, since it uses less digits than its factorization.

135372870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 135372870 is about 11634.9847442960. The cubic root of 135372870 is about 513.4646451989.

The spelling of 135372870 in words is "one hundred thirty-five million, three hundred seventy-two thousand, eight hundred seventy".