148920408 has 288 divisors, whose sum is σ = 537788160. Its totient is φ = 36771840.

The previous prime is 148920389. The next prime is 148920419. The reversal of 148920408 is 804029841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 779593 + ... + 779783.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^148920408 is an apocalyptic number.

148920408 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 148920408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

148920408 is an abundant number, since it is smaller than the sum of its proper divisors (388867752).

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

148920408 is a wasteful number, since it uses less digits than its factorization.

148920408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 148920408 is about 12203.2949648855. The cubic root of 148920408 is about 530.0515056151.

The spelling of 148920408 in words is "one hundred forty-eight million, nine hundred twenty thousand, four hundred eight".