149678100 has 216 divisors, whose sum is σ = 551652192. Its totient is φ = 33465600.

The previous prime is 149678069. The next prime is 149678101. The reversal of 149678100 is 1876941.

149678100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149678100² = 44807067239220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149678101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128119 + ... + 129281.

Almost surely, 2^149678100 is an apocalyptic number.

149678100 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 149678100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275826096).

149678100 is an abundant number, since it is smaller than the sum of its proper divisors (401974092).

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

149678100 is a wasteful number, since it uses less digits than its factorization.

149678100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1197 counting only the distinct ones).

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

The square root of 149678100 is about 12234.3001434492. The cubic root of 149678100 is about 530.9489348363.

The spelling of 149678100 in words is "one hundred forty-nine million, six hundred seventy-eight thousand, one hundred".