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135124034004 = 22332356753089
BaseRepresentation
bin111110111011000000…
…1010010000111010100
3110220210000201010212000
41331312001102013110
54203213223042004
6142024120555300
712522333224001
oct1756601220724
9426700633760
10135124034004
115233aaa3783
1222230922b30
13c98564050b
14677bc168a8
1537acb1ac39
hex1f760521d4

135124034004 has 48 divisors (see below), whose sum is σ = 350343033600. Its totient is φ = 45038585088.

The previous prime is 135124033981. The next prime is 135124034029. The reversal of 135124034004 is 400430421531.

It is a happy number.

135124034004 is a `hidden beast` number, since 13 + 5 + 1 + 240 + 3 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2518692 + ... + 2571780.

It is an arithmetic number, because the mean of its divisors is an integer number (7298813200).

Almost surely, 2135124034004 is an apocalyptic number.

It is an amenable number.

135124034004 is an abundant number, since it is smaller than the sum of its proper divisors (215218999596).

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

135124034004 is a wasteful number, since it uses less digits than its factorization.

135124034004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76669 (or 76661 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 135124034004 its reverse (400430421531), we get a palindrome (535554455535).

The spelling of 135124034004 in words is "one hundred thirty-five billion, one hundred twenty-four million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 23567 47134 53089 70701 94268 106178 141402 159267 212103 212356 282804 318534 424206 477801 636309 637068 848412 955602 1272618 1433403 1911204 2545236 2866806 5733612 1251148463 2502296926 3753445389 5004593852 7506890778 11260336167 15013781556 22520672334 33781008501 45041344668 67562017002 135124034004