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135063355392 = 21434723167
BaseRepresentation
bin111110111001001100…
…1110100000000000000
3110220121210112100110000
41331302121310000000
54203102204333032
6142014112240000
712520665402300
oct1756231640000
9426553470400
10135063355392
1152309819a69
1222214540000
13c975bb6704
146773b3d600
1537a7631e7c
hex1f72674000

135063355392 has 900 divisors, whose sum is σ = 491762941824. Its totient is φ = 36787322880.

The previous prime is 135063355363. The next prime is 135063355397. The reversal of 135063355392 is 293553360531.

135063355392 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 6 + 3 + 3 + 553 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135063355397) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2015870943 + ... + 2015871009.

Almost surely, 2135063355392 is an apocalyptic number.

135063355392 is a gapful number since it is divisible by the number (12) 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 135063355392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245881470912).

135063355392 is an abundant number, since it is smaller than the sum of its proper divisors (356699586432).

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

135063355392 is an frugal number, since it uses more digits than its factorization.

135063355392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 45.

The spelling of 135063355392 in words is "one hundred thirty-five billion, sixty-three million, three hundred fifty-five thousand, three hundred ninety-two".