149027256000 has 448 divisors, whose sum is σ = 624879989760. Its totient is φ = 34063027200.

The previous prime is 149027255983. The next prime is 149027256023. The reversal of 149027256000 is 652720941.

149027256000 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 27 + 25 + 600 + 0 = 666.

149027256000 is digitally balanced in base 2 and base 7, because in such bases 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 (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1462719 + ... + 1561281.

Almost surely, 2^149027256000 is an apocalyptic number.

149027256000 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 149027256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312439994880).

149027256000 is an abundant number, since it is smaller than the sum of its proper divisors (475852733760).

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

149027256000 is an equidigital number, since it uses as much as digits as its factorization.

149027256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98606 (or 98580 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 149027256000 its reverse (652720941), we get a palindrome (149679976941).

The spelling of 149027256000 in words is "one hundred forty-nine billion, twenty-seven million, two hundred fifty-six thousand".