149017591728 has 320 divisors, whose sum is σ = 456077475840. Its totient is φ = 46506700800.

The previous prime is 149017591703. The next prime is 149017591757. The reversal of 149017591728 is 827195710941.

149017591728 is a `hidden beast` number, since 1 + 49 + 0 + 1 + 7 + 591 + 7 + 2 + 8 = 666.

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 63 ways as a sum of consecutive naturals, for example, 69731076 + ... + 69733212.

It is an arithmetic number, because the mean of its divisors is an integer number (1425242112).

Almost surely, 2^149017591728 is an apocalyptic number.

149017591728 is a gapful number since it is divisible by the number (18) 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 149017591728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228038737920).

149017591728 is an abundant number, since it is smaller than the sum of its proper divisors (307059884112).

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

149017591728 is a wasteful number, since it uses less digits than its factorization.

149017591728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 149017591728 in words is "one hundred forty-nine billion, seventeen million, five hundred ninety-one thousand, seven hundred twenty-eight".