149065728000 has 512 divisors, whose sum is σ = 567279348480. Its totient is φ = 34052505600.

The previous prime is 149065727977. The next prime is 149065728023. The reversal of 149065728000 is 827560941.

It is an interprime number because it is at equal distance from previous prime (149065727977) and next prime (149065728023).

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86015134 + ... + 86016866.

Almost surely, 2^149065728000 is an apocalyptic number.

149065728000 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 149065728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283639674240).

149065728000 is an abundant number, since it is smaller than the sum of its proper divisors (418213620480).

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

149065728000 is an frugal number, since it uses more digits than its factorization.

149065728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 149065728000 in words is "one hundred forty-nine billion, sixty-five million, seven hundred twenty-eight thousand".