149962752000 has 720 divisors, whose sum is σ = 564096084552. Its totient is φ = 39636172800.

The previous prime is 149962751989. The next prime is 149962752007. The reversal of 149962752000 is 257269941.

149962752000 is a `hidden beast` number, since 14 + 9 + 9 + 627 + 5 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8923447296 + 141039304704 = 94464^2 + 375552^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (149962752007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1327103944 + ... + 1327104056.

Almost surely, 2^149962752000 is an apocalyptic number.

149962752000 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 149962752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282048042276).

149962752000 is an abundant number, since it is smaller than the sum of its proper divisors (414133332552).

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

149962752000 is an frugal number, since it uses more digits than its factorization.

149962752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 149962752000 in words is "one hundred forty-nine billion, nine hundred sixty-two million, seven hundred fifty-two thousand".