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148412880 = 243257112677
BaseRepresentation
bin10001101100010…
…01100111010000
3101100021011012100
420312021213100
5300443203010
622421000400
73451326420
oct1066114720
9340234170
10148412880
1176858880
1241853100
1324994695
14159d4480
15d0692c0
hex8d899d0

148412880 has 240 divisors, whose sum is σ = 621638784. Its totient is φ = 30827520.

The previous prime is 148412863. The next prime is 148412897. The reversal of 148412880 is 88214841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148412863) and next prime (148412897).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54102 + ... + 56778.

Almost surely, 2148412880 is an apocalyptic number.

148412880 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 148412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310819392).

148412880 is an abundant number, since it is smaller than the sum of its proper divisors (473225904).

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

148412880 is a wasteful number, since it uses less digits than its factorization.

148412880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 148412880 is about 12182.4825056308. The cubic root of 148412880 is about 529.4486731567.

The spelling of 148412880 in words is "one hundred forty-eight million, four hundred twelve thousand, eight hundred eighty".