149962247424 has 576 divisors, whose sum is σ = 515870933760. Its totient is φ = 42467328000.

The previous prime is 149962247423. The next prime is 149962247437. The reversal of 149962247424 is 424742269941.

149962247424 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 622 + 4 + 7 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149962247423) 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, 233950144 + ... + 233950784.

It is an arithmetic number, because the mean of its divisors is an integer number (895609260).

Almost surely, 2^149962247424 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 149962247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257935466880).

149962247424 is an abundant number, since it is smaller than the sum of its proper divisors (365908686336).

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

149962247424 is a wasteful number, since it uses less digits than its factorization.

149962247424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 855 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

It can be divided in two parts, 149962 and 247424, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 149962247424 in words is "one hundred forty-nine billion, nine hundred sixty-two million, two hundred forty-seven thousand, four hundred twenty-four".