142520400 has 360 divisors, whose sum is σ = 557687520. Its totient is φ = 33408000.

The previous prime is 142520383. The next prime is 142520407. The reversal of 142520400 is 4025241.

142520400 is a `hidden beast` number, since 14 + 252 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142520407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2336370 + ... + 2336430.

It is an arithmetic number, because the mean of its divisors is an integer number (1549132).

Almost surely, 2^142520400 is an apocalyptic number.

142520400 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 142520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278843760).

142520400 is an abundant number, since it is smaller than the sum of its proper divisors (415167120).

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

142520400 is a wasteful number, since it uses less digits than its factorization.

142520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 142520400 is about 11938.1908177077. The cubic root of 142520400 is about 522.3468870594.

Adding to 142520400 its reverse (4025241), we get a palindrome (146545641).

The spelling of 142520400 in words is "one hundred forty-two million, five hundred twenty thousand, four hundred".