148629520 has 80 divisors (see below), whose sum is σ = 374319792. Its totient is φ = 54558720.

The previous prime is 148629491. The next prime is 148629529. The reversal of 148629520 is 25926841.

It can be written as a sum of positive squares in 8 ways, for example, as 861184 + 147768336 = 928^2 + 12156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 148629520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148629529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250344 + ... + 250936.

Almost surely, 2^148629520 is an apocalyptic number.

148629520 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 148629520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187159896).

148629520 is an abundant number, since it is smaller than the sum of its proper divisors (225690272).

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

148629520 is a wasteful number, since it uses less digits than its factorization.

148629520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 148629520 is about 12191.3707186682. The cubic root of 148629520 is about 529.7061620311.

The spelling of 148629520 in words is "one hundred forty-eight million, six hundred twenty-nine thousand, five hundred twenty".