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135464896 = 267614957
BaseRepresentation
bin10000001001100…
…00011111000000
3100102220022220101
420010300133000
5234134334041
621235252144
73233301250
oct1004603700
9312808811
10135464896
116a514866
123944a054
13220b0058
1413dc3960
15bd5cb31
hex81307c0

135464896 has 56 divisors (see below), whose sum is σ = 312314336. Its totient is φ = 57093120.

The previous prime is 135464867. The next prime is 135464897. The reversal of 135464896 is 698464531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135464897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24850 + ... + 29806.

Almost surely, 2135464896 is an apocalyptic number.

135464896 is a gapful number since it is divisible by the number (16) 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 135464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156157168).

135464896 is an abundant number, since it is smaller than the sum of its proper divisors (176849440).

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

135464896 is an equidigital number, since it uses as much as digits as its factorization.

135464896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5027 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 135464896 is about 11638.9387832396. The cubic root of 135464896 is about 513.5809693294.

The spelling of 135464896 in words is "one hundred thirty-five million, four hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 4957 6832 9914 13664 19828 27328 34699 39656 69398 79312 138796 158624 277592 302377 317248 555184 604754 1110368 1209508 2116639 2220736 2419016 4233278 4838032 8466556 9676064 16933112 19352128 33866224 67732448 135464896