149142716100 has 405 divisors, whose sum is σ = 563313240567. Its totient is φ = 34034152320.

The previous prime is 149142716081. The next prime is 149142716101. The reversal of 149142716100 is 1617241941.

The square root of 149142716100 is 386190.

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

149142716100 is a `hidden beast` number, since 1 + 4 + 9 + 14 + 27 + 1 + 610 + 0 = 666.

149142716100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 87153667524 + 61989048576 = 295218^2 + 248976^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is not an unprimeable number, because it can be changed into a prime (149142716101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 243299394 + ... + 243300006.

Almost surely, 2^149142716100 is an apocalyptic number.

149142716100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149142716100 is the 386190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149142716100

149142716100 is an abundant number, since it is smaller than the sum of its proper divisors (414170524467).

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

149142716100 is an equidigital number, since it uses as much as digits as its factorization.

149142716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 149142716100 by its sum of digits (36), we get a square (5369137779600 = 2317140²).

149142716100 divided by its sum of digits (36) gives a square (4142853225 = 64365²).

The spelling of 149142716100 in words is "one hundred forty-nine billion, one hundred forty-two million, seven hundred sixteen thousand, one hundred".