149235416100 has 243 divisors, whose sum is σ = 476690585553. Its totient is φ = 39051305280.

The previous prime is 149235415993. The next prime is 149235416101. The reversal of 149235416100 is 1614532941.

It is a happy number.

The square root of 149235416100 is 386310.

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

149235416100 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 3 + 541 + 6 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53724749796 + 95510666304 = 231786^2 + 309048^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (149235416101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 915554619 + ... + 915554781.

Almost surely, 2^149235416100 is an apocalyptic number.

149235416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149235416100 is the 386310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149235416100

149235416100 is an abundant number, since it is smaller than the sum of its proper divisors (327455169453).

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

149235416100 is a wasteful number, since it uses less digits than its factorization.

149235416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 149235416100 by its sum of digits (36), we get a square (5372474979600 = 2317860²).

149235416100 divided by its sum of digits (36) gives a square (4145428225 = 64385²).

The spelling of 149235416100 in words is "one hundred forty-nine billion, two hundred thirty-five million, four hundred sixteen thousand, one hundred".