148921920 has 336 divisors, whose sum is σ = 599114880. Its totient is φ = 33251328.

The previous prime is 148921919. The next prime is 148921933. The reversal of 148921920 is 29129841.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673236 + ... + 1673324.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^148921920 is an apocalyptic number.

148921920 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 148921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299557440).

148921920 is an abundant number, since it is smaller than the sum of its proper divisors (450192960).

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

148921920 is a wasteful number, since it uses less digits than its factorization.

148921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 148921920 is about 12203.3569152098. The cubic root of 148921920 is about 530.0532994932.

It can be divided in two parts, 1489 and 21920, that added together give a square (23409 = 153²).

The spelling of 148921920 in words is "one hundred forty-eight million, nine hundred twenty-one thousand, nine hundred twenty".