145212480 has 336 divisors, whose sum is σ = 597651840. Its totient is φ = 33191424.

The previous prime is 145212461. The next prime is 145212481. The reversal of 145212480 is 84212541.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145212481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20744637 + ... + 20744643.

Almost surely, 2^145212480 is an apocalyptic number.

145212480 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 145212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298825920).

145212480 is an abundant number, since it is smaller than the sum of its proper divisors (452439360).

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

145212480 is an frugal number, since it uses more digits than its factorization.

145212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145212480 is about 12050.4141007685. The cubic root of 145212480 is about 525.6152786368.

The spelling of 145212480 in words is "one hundred forty-five million, two hundred twelve thousand, four hundred eighty".