149868048 has 80 divisors (see below), whose sum is σ = 444614400. Its totient is φ = 43021440.

The previous prime is 149868041. The next prime is 149868049. The reversal of 149868048 is 840868941.

It is a super-2 number, since 2×149868048² = 44920863622660608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 149867988 and 149868006.

It is not an unprimeable number, because it can be changed into a prime (149868041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2563 + ... + 17501.

It is an arithmetic number, because the mean of its divisors is an integer number (5557680).

Almost surely, 2^149868048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222307200).

149868048 is an abundant number, since it is smaller than the sum of its proper divisors (294746352).

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

149868048 is a wasteful number, since it uses less digits than its factorization.

149868048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 149868048 is about 12242.0606108612. The cubic root of 149868048 is about 531.1734389693.

The spelling of 149868048 in words is "one hundred forty-nine million, eight hundred sixty-eight thousand, forty-eight".