149910600 has 144 divisors (see below), whose sum is σ = 540702000. Its totient is φ = 34258560.

The previous prime is 149910587. The next prime is 149910613. The reversal of 149910600 is 6019941.

149910600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149910587) and next prime (149910613).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26851 + ... + 31949.

It is an arithmetic number, because the mean of its divisors is an integer number (3754875).

Almost surely, 2^149910600 is an apocalyptic number.

149910600 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 149910600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270351000).

149910600 is an abundant number, since it is smaller than the sum of its proper divisors (390791400).

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

149910600 is a wasteful number, since it uses less digits than its factorization.

149910600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 149910600 is about 12243.7984302258. The cubic root of 149910600 is about 531.2237061957.

The spelling of 149910600 in words is "one hundred forty-nine million, nine hundred ten thousand, six hundred".