149749993008000 has 4608 divisors, whose sum is σ = 698528021667840. Its totient is φ = 30078259200000.

The previous prime is 149749993007983. The next prime is 149749993008019. The reversal of 149749993008000 is 800399947941.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 865606895914 + ... + 865606896086.

It is an arithmetic number, because the mean of its divisors is an integer number (151590282480).

Almost surely, 2^{149749993008000} is an apocalyptic number.

149749993008000 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 149749993008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349264010833920).

149749993008000 is an abundant number, since it is smaller than the sum of its proper divisors (548778028659840).

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

149749993008000 is a wasteful number, since it uses less digits than its factorization.

149749993008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 149749993008000 in words is "one hundred forty-nine trillion, seven hundred forty-nine billion, nine hundred ninety-three million, eight thousand".