149802467040 has 384 divisors, whose sum is σ = 535949568000. Its totient is φ = 39070107648.

The previous prime is 149802467021. The next prime is 149802467047. The reversal of 149802467040 is 40764208941.

149802467040 is a `hidden beast` number, since 149 + 8 + 0 + 2 + 467 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149802467047) 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, 37197507 + ... + 37201533.

It is an arithmetic number, because the mean of its divisors is an integer number (1395702000).

Almost surely, 2^149802467040 is an apocalyptic number.

149802467040 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 149802467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267974784000).

149802467040 is an abundant number, since it is smaller than the sum of its proper divisors (386147100960).

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

149802467040 is a wasteful number, since it uses less digits than its factorization.

149802467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 149802467040 in words is "one hundred forty-nine billion, eight hundred two million, four hundred sixty-seven thousand, forty".