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135154432 = 287199379
BaseRepresentation
bin10000000111001…
…00101100000000
3100102022120000201
420003210230000
5234044420212
621224454544
73230536150
oct1003445400
9312276021
10135154432
116a322586
123931a454
132200194a
1413d42760
15bceab57
hex80e4b00

135154432 has 72 divisors (see below), whose sum is σ = 310688000. Its totient is φ = 57480192.

The previous prime is 135154423. The next prime is 135154447. The reversal of 135154432 is 234451531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 135154432.

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, 356419 + ... + 356797.

Almost surely, 2135154432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155344000).

135154432 is an abundant number, since it is smaller than the sum of its proper divisors (175533568).

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

135154432 is an equidigital number, since it uses as much as digits as its factorization.

135154432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 135154432 is about 11625.5938342951. The cubic root of 135154432 is about 513.1883205763.

The spelling of 135154432 in words is "one hundred thirty-five million, one hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 256 379 398 448 758 796 896 1393 1516 1592 1792 2653 2786 3032 3184 5306 5572 6064 6368 10612 11144 12128 12736 21224 22288 24256 25472 42448 44576 48512 50944 75421 84896 89152 97024 150842 169792 178304 301684 339584 356608 527947 603368 679168 1055894 1206736 2111788 2413472 4223576 4826944 8447152 9653888 16894304 19307776 33788608 67577216 135154432