149870891520 has 960 divisors, whose sum is σ = 622296170496. Its totient is φ = 33861058560.

The previous prime is 149870891519. The next prime is 149870891543. The reversal of 149870891520 is 25198078941.

It is a happy number.

149870891520 is a `hidden beast` number, since 1 + 49 + 8 + 70 + 8 + 9 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×149870891520² (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 95 ways as a sum of consecutive naturals, for example, 553028985 + ... + 553029255.

Almost surely, 2^149870891520 is an apocalyptic number.

149870891520 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 149870891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311148085248).

149870891520 is an abundant number, since it is smaller than the sum of its proper divisors (472425278976).

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

149870891520 is an equidigital number, since it uses as much as digits as its factorization.

149870891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 149870891520 in words is "one hundred forty-nine billion, eight hundred seventy million, eight hundred ninety-one thousand, five hundred twenty".