148561920 has 336 divisors, whose sum is σ = 572487552. Its totient is φ = 35389440.

The previous prime is 148561913. The next prime is 148561927. The reversal of 148561920 is 29165841.

148561920 is a `hidden beast` number, since 1 + 4 + 8 + 561 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148561913) and next prime (148561927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148561927) 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, 4792305 + ... + 4792335.

It is an arithmetic number, because the mean of its divisors is an integer number (1703832).

Almost surely, 2^148561920 is an apocalyptic number.

148561920 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 148561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286243776).

148561920 is an abundant number, since it is smaller than the sum of its proper divisors (423925632).

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

148561920 is a wasteful number, since it uses less digits than its factorization.

148561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 148561920 is about 12188.5979505438. The cubic root of 148561920 is about 529.6258424851.

The spelling of 148561920 in words is "one hundred forty-eight million, five hundred sixty-one thousand, nine hundred twenty".