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142691136 = 2637229523
BaseRepresentation
bin10001000000101…
…00101101000000
3100221111110102220
420200110231000
5243012104021
622054211040
73351566100
oct1040245500
9327443386
10142691136
11735aaa65
123b953a80
1323740233
1414d45200
15c7d8cc6
hex8814b40

142691136 has 168 divisors, whose sum is σ = 455188320. Its totient is φ = 39287808.

The previous prime is 142691113. The next prime is 142691161. The reversal of 142691136 is 631196241.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 142691097 and 142691106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272571 + ... + 273093.

Almost surely, 2142691136 is an apocalyptic number.

142691136 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 142691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227594160).

142691136 is an abundant number, since it is smaller than the sum of its proper divisors (312497184).

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

142691136 is a wasteful number, since it uses less digits than its factorization.

142691136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 564 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 142691136 is about 11945.3395096163. The cubic root of 142691136 is about 522.5553901429. Note that the first 3 decimals are identical.

The spelling of 142691136 in words is "one hundred forty-two million, six hundred ninety-one thousand, one hundred thirty-six".