148861800 has 168 divisors, whose sum is σ = 519426390. Its totient is φ = 39657600.

The previous prime is 148861799. The next prime is 148861807. The reversal of 148861800 is 8168841.

It can be written as a sum of positive squares in 3 ways, for example, as 115476516 + 33385284 = 10746^2 + 5778^2 .

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

It is not an unprimeable number, because it can be changed into a prime (148861807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145290 + ... + 146310.

Almost surely, 2^148861800 is an apocalyptic number.

148861800 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 148861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259713195).

148861800 is an abundant number, since it is smaller than the sum of its proper divisors (370564590).

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

148861800 is a wasteful number, since it uses less digits than its factorization.

148861800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 148861800 is about 12200.8934099106. The cubic root of 148861800 is about 529.9819621249.

The spelling of 148861800 in words is "one hundred forty-eight million, eight hundred sixty-one thousand, eight hundred".