145401984 has 384 divisors, whose sum is σ = 549494400. Its totient is φ = 35831808.

The previous prime is 145401983. The next prime is 145401989. The reversal of 145401984 is 489104541.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×145401984² = 42283473902272512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (145401983) 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, 1991772 + ... + 1991844.

It is an arithmetic number, because the mean of its divisors is an integer number (1430975).

Almost surely, 2^145401984 is an apocalyptic number.

145401984 is a gapful number since it is divisible by the number (14) 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 145401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274747200).

145401984 is an abundant number, since it is smaller than the sum of its proper divisors (404092416).

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

145401984 is a wasteful number, since it uses less digits than its factorization.

145401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145401984 is about 12058.2745034271. The cubic root of 145401984 is about 525.8438239612.

The spelling of 145401984 in words is "one hundred forty-five million, four hundred one thousand, nine hundred eighty-four".