142952048100 has 135 divisors (see below), whose sum is σ = 463504396971. Its totient is φ = 38111472000.

The previous prime is 142952048093. The next prime is 142952048111. The reversal of 142952048100 is 1840259241.

The square root of 142952048100 is 378090.

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

142952048100 is a `hidden beast` number, since 1 + 4 + 29 + 520 + 4 + 8 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57458966436 + 85493081664 = 239706^2 + 292392^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-3 number, since 3×142952048100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34026000 + ... + 34030200.

Almost surely, 2^142952048100 is an apocalyptic number.

142952048100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142952048100 is the 378090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142952048100

142952048100 is an abundant number, since it is smaller than the sum of its proper divisors (320552348871).

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

142952048100 is an frugal number, since it uses more digits than its factorization.

142952048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 142952048100 by its sum of digits (36), we get a square (5146273731600 = 2268540²).

142952048100 divided by its sum of digits (36) gives a square (3970890225 = 63015²).

The spelling of 142952048100 in words is "one hundred forty-two billion, nine hundred fifty-two million, forty-eight thousand, one hundred".