149748635520 has 512 divisors, whose sum is σ = 603747302400. Its totient is φ = 34723307520.

The previous prime is 149748635473. The next prime is 149748635609. The reversal of 149748635520 is 25536847941.

It is a happy number.

149748635520 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 4 + 86 + 3 + 552 + 0 = 666.

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

It is a congruent number.

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, 4354714 + ... + 4388966.

It is an arithmetic number, because the mean of its divisors is an integer number (1179193950).

It is a 1-persistent number, because it is pandigital, but 2⋅149748635520 = 299497271040 is not.

Almost surely, 2^149748635520 is an apocalyptic number.

149748635520 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 149748635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301873651200).

149748635520 is an abundant number, since it is smaller than the sum of its proper divisors (453998666880).

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

149748635520 is a wasteful number, since it uses less digits than its factorization.

149748635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34315 (or 34297 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 149748635520 in words is "one hundred forty-nine billion, seven hundred forty-eight million, six hundred thirty-five thousand, five hundred twenty".