148737040 has 80 divisors (see below), whose sum is σ = 359195760. Its totient is φ = 57231360.

The previous prime is 148737037. The next prime is 148737049. The reversal of 148737040 is 40737841.

It can be written as a sum of positive squares in 8 ways, for example, as 4064256 + 144672784 = 2016^2 + 12028^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 148736987 and 148737005.

It is not an unprimeable number, because it can be changed into a prime (148737049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322410 + ... + 322870.

It is an arithmetic number, because the mean of its divisors is an integer number (4489947).

Almost surely, 2^148737040 is an apocalyptic number.

148737040 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 148737040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179597880).

148737040 is an abundant number, since it is smaller than the sum of its proper divisors (210458720).

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

148737040 is a wasteful number, since it uses less digits than its factorization.

148737040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 148737040 is about 12195.7795978773. The cubic root of 148737040 is about 529.8338627246.

The spelling of 148737040 in words is "one hundred forty-eight million, seven hundred thirty-seven thousand, forty".