149238400 has 96 divisors (see below), whose sum is σ = 372325500. Its totient is φ = 59105280.

The previous prime is 149238389. The next prime is 149238403. The reversal of 149238400 is 4832941.

It can be written as a sum of positive squares in 6 ways, for example, as 788544 + 148449856 = 888^2 + 12184^2 .

It is not an unprimeable number, because it can be changed into a prime (149238403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476644 + ... + 476956.

Almost surely, 2^149238400 is an apocalyptic number.

149238400 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 149238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186162750).

149238400 is an abundant number, since it is smaller than the sum of its proper divisors (223087100).

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

149238400 is a wasteful number, since it uses less digits than its factorization.

149238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 149238400 is about 12216.3169572502. The cubic root of 149238400 is about 530.4285130652.

It can be divided in two parts, 149 and 238400, that multiplied together give a square (35521600 = 5960²).

The spelling of 149238400 in words is "one hundred forty-nine million, two hundred thirty-eight thousand, four hundred".