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146134752 = 25310314779
BaseRepresentation
bin10001011010111…
…01011011100000
3101011222102012020
420231131123200
5244402303002
622300101440
73423060561
oct1055353340
9334872166
10146134752
1175542225
1240b34880
132437778a
14155a0168
15cc692bc
hex8b5d6e0

146134752 has 48 divisors (see below), whose sum is σ = 387354240. Its totient is φ = 48235392.

The previous prime is 146134739. The next prime is 146134777. The reversal of 146134752 is 257431641.

146134752 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2499 + ... + 17277.

It is an arithmetic number, because the mean of its divisors is an integer number (8069880).

Almost surely, 2146134752 is an apocalyptic number.

146134752 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 146134752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193677120).

146134752 is an abundant number, since it is smaller than the sum of its proper divisors (241219488).

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

146134752 is a wasteful number, since it uses less digits than its factorization.

146134752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895 (or 14887 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 146134752 is about 12088.6207650004. The cubic root of 146134752 is about 526.7256919016.

The spelling of 146134752 in words is "one hundred forty-six million, one hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 14779 29558 44337 59116 88674 118232 177348 236464 354696 472928 709392 1418784 1522237 3044474 4566711 6088948 9133422 12177896 18266844 24355792 36533688 48711584 73067376 146134752