145465632 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 44727552.

The previous prime is 145465631. The next prime is 145465633. The reversal of 145465632 is 236564541.

145465632 is a `hidden beast` number, since 14 + 5 + 4 + 6 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (145465631) and next prime (145465633).

It is a tau number, because it is divible by the number of its divisors (144).

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 (145465631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100369 + ... + 101807.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^145465632 is an apocalyptic number.

145465632 is a gapful number since it is divisible by the number (12) 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 145465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

145465632 is an abundant number, since it is smaller than the sum of its proper divisors (316843488).

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

145465632 is a wasteful number, since it uses less digits than its factorization.

145465632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1457 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 145465632 is about 12060.9133982464. The cubic root of 145465632 is about 525.9205400748.

The spelling of 145465632 in words is "one hundred forty-five million, four hundred sixty-five thousand, six hundred thirty-two".