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135158980 = 225113791621
BaseRepresentation
bin10000000111001…
…01110011000100
3100102022210021011
420003211303010
5234100041410
621224532004
73230555335
oct1003456304
9312283234
10135158980
116a325a40
1239321004
1322003a38
1413d4428c
15bcec18a
hex80e5cc4

135158980 has 48 divisors (see below), whose sum is σ = 310645440. Its totient is φ = 48988800.

The previous prime is 135158963. The next prime is 135158983. The reversal of 135158980 is 89851531.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135158983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82570 + ... + 84190.

It is an arithmetic number, because the mean of its divisors is an integer number (6471780).

Almost surely, 2135158980 is an apocalyptic number.

135158980 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 135158980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155322720).

135158980 is an abundant number, since it is smaller than the sum of its proper divisors (175486460).

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

135158980 is a wasteful number, since it uses less digits than its factorization.

135158980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The square root of 135158980 is about 11625.7894355609. The cubic root of 135158980 is about 513.1940768416.

The spelling of 135158980 in words is "one hundred thirty-five million, one hundred fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1621 1895 3242 3790 4169 6484 7580 8105 8338 16210 16676 17831 20845 32420 35662 41690 71324 83380 89155 178310 356620 614359 1228718 2457436 3071795 6143590 6757949 12287180 13515898 27031796 33789745 67579490 135158980