149235001344 has 768 divisors, whose sum is σ = 528023059200. Its totient is φ = 41564897280.

The previous prime is 149235001343. The next prime is 149235001367. The reversal of 149235001344 is 443100532941.

149235001344 is a `hidden beast` number, since 1 + 492 + 35 + 0 + 0 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×149235001344² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 149235001299 and 149235001308.

It is not an unprimeable number, because it can be changed into a prime (149235001343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640493452 + ... + 640493684.

It is an arithmetic number, because the mean of its divisors is an integer number (687530025).

Almost surely, 2^149235001344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149235001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264011529600).

149235001344 is an abundant number, since it is smaller than the sum of its proper divisors (378788057856).

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

149235001344 is an equidigital number, since it uses as much as digits as its factorization.

149235001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 149235001344 in words is "one hundred forty-nine billion, two hundred thirty-five million, one thousand, three hundred forty-four".