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142795136 = 2711372741
BaseRepresentation
bin10001000001011…
…10000110000000
3100221200202002202
420200232012000
5243023421021
622100332332
73352511231
oct1040560600
9327622082
10142795136
1173671110
123b9a40a8
1323778683
1414d71088
15c809a0b
hex882e180

142795136 has 64 divisors (see below), whose sum is σ = 318839760. Its totient is φ = 63129600.

The previous prime is 142795097. The next prime is 142795141. The reversal of 142795136 is 631597241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 142795136.

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, 50726 + ... + 53466.

Almost surely, 2142795136 is an apocalyptic number.

142795136 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 142795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159419880).

142795136 is an abundant number, since it is smaller than the sum of its proper divisors (176044624).

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

142795136 is a wasteful number, since it uses less digits than its factorization.

142795136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2791 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 142795136 is about 11949.6918788729. The cubic root of 142795136 is about 522.6823136137.

The spelling of 142795136 in words is "one hundred forty-two million, seven hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 2741 3256 4736 5482 6512 10964 13024 21928 26048 30151 43856 52096 60302 87712 101417 120604 175424 202834 241208 350848 405668 482416 811336 964832 1115587 1622672 1929664 2231174 3245344 3859328 4462348 6490688 8924696 12981376 17849392 35698784 71397568 142795136