149676134400 has 1053 divisors, whose sum is σ = 599849512587. Its totient is φ = 35654860800.

The previous prime is 149676134383. The next prime is 149676134401. The reversal of 149676134400 is 4431676941.

The square root of 149676134400 is 386880.

It is a perfect power (a square), and thus also a powerful number.

149676134400 is a `hidden beast` number, since 1 + 49 + 6 + 76 + 134 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38579245056 + 111096889344 = 196416^2 + 333312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (149676134401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4828262385 + ... + 4828262415.

Almost surely, 2^149676134400 is an apocalyptic number.

149676134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149676134400 is the 386880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149676134400

149676134400 is an abundant number, since it is smaller than the sum of its proper divisors (450173378187).

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

149676134400 is a wasteful number, since it uses less digits than its factorization.

149676134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 149676134400 in words is "one hundred forty-nine billion, six hundred seventy-six million, one hundred thirty-four thousand, four hundred".