142929915145920 has 896 divisors, whose sum is σ = 581060088576000. Its totient is φ = 32397894549504.

The previous prime is 142929915145909. The next prime is 142929915145931. The reversal of 142929915145920 is 29541519929241.

142929915145920 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 2 + 9 + 9 + 151 + 459 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (142929915145909) and next prime (142929915145931).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8559181731 + ... + 8559198429.

Almost surely, 2^{142929915145920} is an apocalyptic number.

142929915145920 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 142929915145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290530044288000).

142929915145920 is an abundant number, since it is smaller than the sum of its proper divisors (438130173430080).

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

142929915145920 is a wasteful number, since it uses less digits than its factorization.

142929915145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17902 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 142929915145920 in words is "one hundred forty-two trillion, nine hundred twenty-nine billion, nine hundred fifteen million, one hundred forty-five thousand, nine hundred twenty".