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142132920 = 233517192193
BaseRepresentation
bin10000111100011…
…00011010111000
3100220110002201020
420132030122320
5242341223140
622034222440
73344052456
oct1036143270
9326402636
10142132920
1173259626
123b724a20
13235a6127
1414c3b9d6
15c7286d0
hex878c6b8

142132920 has 192 divisors, whose sum is σ = 478962720. Its totient is φ = 33619968.

The previous prime is 142132919. The next prime is 142132927. The reversal of 142132920 is 29231241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142132927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736344 + ... + 736536.

Almost surely, 2142132920 is an apocalyptic number.

142132920 is a gapful number since it is divisible by the number (10) 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 142132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239481360).

142132920 is an abundant number, since it is smaller than the sum of its proper divisors (336829800).

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

142132920 is a wasteful number, since it uses less digits than its factorization.

142132920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 142132920 is about 11921.9511825875. The cubic root of 142132920 is about 521.8730772874.

The spelling of 142132920 in words is "one hundred forty-two million, one hundred thirty-two thousand, nine hundred twenty".