149419800 has 288 divisors, whose sum is σ = 561459600. Its totient is φ = 35389440.

The previous prime is 149419793. The next prime is 149419807. The reversal of 149419800 is 8914941.

It is an interprime number because it is at equal distance from previous prime (149419793) and next prime (149419807).

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 (149419807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 581272 + ... + 581528.

Almost surely, 2^149419800 is an apocalyptic number.

149419800 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 149419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280729800).

149419800 is an abundant number, since it is smaller than the sum of its proper divisors (412039800).

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

149419800 is a wasteful number, since it uses less digits than its factorization.

149419800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149419800 is about 12223.7391987886. The cubic root of 149419800 is about 530.6433388593.

The spelling of 149419800 in words is "one hundred forty-nine million, four hundred nineteen thousand, eight hundred".