148512000 has 576 divisors, whose sum is σ = 642829824. Its totient is φ = 29491200.

The previous prime is 148511953. The next prime is 148512011. The reversal of 148512000 is 215841.

148512000 = T₁₅₂₀ + T₁₅₂₁ + ... + T₁₆₃₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8735992 + ... + 8736008.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^148512000 is an apocalyptic number.

148512000 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 148512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912).

148512000 is an abundant number, since it is smaller than the sum of its proper divisors (494317824).

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

148512000 is a wasteful number, since it uses less digits than its factorization.

148512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 148512000 is about 12186.5499629715. The cubic root of 148512000 is about 529.5665139484.

Adding to 148512000 its reverse (215841), we get a palindrome (148727841).

The spelling of 148512000 in words is "one hundred forty-eight million, five hundred twelve thousand".