149251968 has 192 divisors, whose sum is σ = 462084480. Its totient is φ = 46126080.

The previous prime is 149251967. The next prime is 149252003. The reversal of 149251968 is 869152941.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×149251968³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149251967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139263 + ... + 1139393.

It is an arithmetic number, because the mean of its divisors is an integer number (2406690).

Almost surely, 2^149251968 is an apocalyptic number.

149251968 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 149251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231042240).

149251968 is an abundant number, since it is smaller than the sum of its proper divisors (312832512).

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

149251968 is a wasteful number, since it uses less digits than its factorization.

149251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 149251968 is about 12216.8722674832. The cubic root of 149251968 is about 530.4445872033. Note that the first 3 decimals are identical.

The spelling of 149251968 in words is "one hundred forty-nine million, two hundred fifty-one thousand, nine hundred sixty-eight".