149100 has 72 divisors (see below), whose sum is σ = 499968. Its totient is φ = 33600.

The previous prime is 149099. The next prime is 149101. The reversal of 149100 is 1941.

149100 = 133² + 134² + ... + 140².

It is an interprime number because it is at equal distance from previous prime (149099) and next prime (149101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 149100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149100.

It is not an unprimeable number, because it can be changed into a prime (149101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2065 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2¹⁴⁹¹⁰⁰ is an apocalyptic number.

149100 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 149100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

149100 is an abundant number, since it is smaller than the sum of its proper divisors (350868).

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

149100 is a wasteful number, since it uses less digits than its factorization.

149100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 149100 is about 386.1346915262. The cubic root of 149100 is about 53.0264493592.

The spelling of 149100 in words is "one hundred forty-nine thousand, one hundred".