142515120 has 160 divisors (see below), whose sum is σ = 495325440. Its totient is φ = 33592320.

The previous prime is 142515101. The next prime is 142515127. The reversal of 142515120 is 21515241.

It is a super-2 number, since 2×142515120² = 40621118857228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142515127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96951 + ... + 98409.

It is an arithmetic number, because the mean of its divisors is an integer number (3095784).

Almost surely, 2^142515120 is an apocalyptic number.

142515120 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 142515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247662720).

142515120 is an abundant number, since it is smaller than the sum of its proper divisors (352810320).

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

142515120 is a wasteful number, since it uses less digits than its factorization.

142515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 142515120 is about 11937.9696766242. The cubic root of 142515120 is about 522.3404364609.

The spelling of 142515120 in words is "one hundred forty-two million, five hundred fifteen thousand, one hundred twenty".