149909720245824 has 448 divisors, whose sum is σ = 520614064281600. Its totient is φ = 36882575769600.

The previous prime is 149909720245811. The next prime is 149909720245841. The reversal of 149909720245824 is 428542027909941.

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 (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002470154 + ... + 2002545014.

Almost surely, 2^{149909720245824} is an apocalyptic number.

149909720245824 is a gapful number since it is divisible by the number (14) 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 149909720245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260307032140800).

149909720245824 is an abundant number, since it is smaller than the sum of its proper divisors (370704344035776).

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

149909720245824 is a wasteful number, since it uses less digits than its factorization.

149909720245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82042 (or 82032 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 149909720245824 in words is "one hundred forty-nine trillion, nine hundred nine billion, seven hundred twenty million, two hundred forty-five thousand, eight hundred twenty-four".