142899120400 has 135 divisors (see below), whose sum is σ = 352657890349. Its totient is φ = 55644544000.

The previous prime is 142899120341. The next prime is 142899120409. The reversal of 142899120400 is 4021998241.

The square root of 142899120400 is 378020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 141354944784 + 1544175616 = 375972^2 + 39296^2 .

It is a super-2 number, since 2×142899120400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142899120409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 309976170 + ... + 309976630.

Almost surely, 2^142899120400 is an apocalyptic number.

142899120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142899120400 is the 378020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142899120400

142899120400 is an abundant number, since it is smaller than the sum of its proper divisors (209758769949).

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

142899120400 is an frugal number, since it uses more digits than its factorization.

142899120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 142899120400 in words is "one hundred forty-two billion, eight hundred ninety-nine million, one hundred twenty thousand, four hundred".