149666400 has 432 divisors, whose sum is σ = 600430320. Its totient is φ = 35942400.

The previous prime is 149666399. The next prime is 149666411. The reversal of 149666400 is 4666941.

149666400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3650380 + ... + 3650420.

It is an arithmetic number, because the mean of its divisors is an integer number (1389885).

Almost surely, 2^149666400 is an apocalyptic number.

149666400 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 149666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300215160).

149666400 is an abundant number, since it is smaller than the sum of its proper divisors (450763920).

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

149666400 is a wasteful number, since it uses less digits than its factorization.

149666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 149666400 is about 12233.8219702593. The cubic root of 149666400 is about 530.9351001150.

It can be divided in two parts, 1496 and 66400, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 149666400 in words is "one hundred forty-nine million, six hundred sixty-six thousand, four hundred".