142121952 has 216 divisors, whose sum is σ = 488864376. Its totient is φ = 40497408.

The previous prime is 142121951. The next prime is 142121963. The reversal of 142121952 is 259121241.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142121951) 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 35 ways as a sum of consecutive naturals, for example, 380838 + ... + 381210.

It is an arithmetic number, because the mean of its divisors is an integer number (2263261).

Almost surely, 2^142121952 is an apocalyptic number.

142121952 is a gapful number since it is divisible by the number (12) 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 142121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244432188).

142121952 is an abundant number, since it is smaller than the sum of its proper divisors (346742424).

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

142121952 is an equidigital number, since it uses as much as digits as its factorization.

142121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 142121952 is about 11921.4911818950. The cubic root of 142121952 is about 521.8596531134.

The spelling of 142121952 in words is "one hundred forty-two million, one hundred twenty-one thousand, nine hundred fifty-two".