149520437892 has 1152 divisors, whose sum is σ = 535397990400. Its totient is φ = 36212520960.

The previous prime is 149520437881. The next prime is 149520437917. The reversal of 149520437892 is 298734025941.

149520437892 is a `hidden beast` number, since 1 + 4 + 9 + 520 + 4 + 37 + 89 + 2 = 666.

It is a super-2 number, since 2×149520437892² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4041092898 + ... + 4041092934.

It is an arithmetic number, because the mean of its divisors is an integer number (464755200).

Almost surely, 2^149520437892 is an apocalyptic number.

149520437892 is a gapful number since it is divisible by the number (12) 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 149520437892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267698995200).

149520437892 is an abundant number, since it is smaller than the sum of its proper divisors (385877552508).

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

149520437892 is a wasteful number, since it uses less digits than its factorization.

149520437892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 149520437892 in words is "one hundred forty-nine billion, five hundred twenty million, four hundred thirty-seven thousand, eight hundred ninety-two".