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135153753780 = 22354015617363
BaseRepresentation
bin111110111011111001…
…0101001111010110100
3110220212002122001201110
41331313302221322310
54203243330110110
6142031101555020
712523143644403
oct1756762517264
9426762561643
10135153753780
1152355852681
122223a875a70
13c98b847a96
146781b5163a
1537b053ba20
hex1f77ca9eb4

135153753780 has 48 divisors (see below), whose sum is σ = 379374295104. Its totient is φ = 35951116800.

The previous prime is 135153753773. The next prime is 135153753851. The reversal of 135153753780 is 87357351531.

135153753780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784622 + ... + 2832741.

It is an arithmetic number, because the mean of its divisors is an integer number (7903631148).

Almost surely, 2135153753780 is an apocalyptic number.

135153753780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135153753780 is an abundant number, since it is smaller than the sum of its proper divisors (244220541324).

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

135153753780 is a wasteful number, since it uses less digits than its factorization.

135153753780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617776 (or 5617774 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 48.

The spelling of 135153753780 in words is "one hundred thirty-five billion, one hundred fifty-three million, seven hundred fifty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 401 802 1203 1604 2005 2406 4010 4812 6015 8020 12030 24060 5617363 11234726 16852089 22469452 28086815 33704178 56173630 67408356 84260445 112347260 168520890 337041780 2252562563 4505125126 6757687689 9010250252 11262812815 13515375378 22525625630 27030750756 33788438445 45051251260 67576876890 135153753780