142135920 has 120 divisors (see below), whose sum is σ = 481839696. Its totient is φ = 37545984.

The previous prime is 142135919. The next prime is 142135921. The reversal of 142135920 is 29531241.

It is an interprime number because it is at equal distance from previous prime (142135919) and next prime (142135921).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142135921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80487 + ... + 82233.

Almost surely, 2^142135920 is an apocalyptic number.

142135920 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 142135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240919848).

142135920 is an abundant number, since it is smaller than the sum of its proper divisors (339703776).

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

142135920 is a wasteful number, since it uses less digits than its factorization.

142135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 142135920 is about 11922.0770002546. The cubic root of 142135920 is about 521.8767489872.

The spelling of 142135920 in words is "one hundred forty-two million, one hundred thirty-five thousand, nine hundred twenty".