145862400 has 216 divisors, whose sum is σ = 492718464. Its totient is φ = 37990400.

The previous prime is 145862377. The next prime is 145862429. The reversal of 145862400 is 4268541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363147 + ... + 1363253.

It is an arithmetic number, because the mean of its divisors is an integer number (2281104).

Almost surely, 2^145862400 is an apocalyptic number.

145862400 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 145862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246359232).

145862400 is an abundant number, since it is smaller than the sum of its proper divisors (346856064).

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

145862400 is a wasteful number, since it uses less digits than its factorization.

145862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 145862400 is about 12077.3507028653. The cubic root of 145862400 is about 526.3982680566.

The spelling of 145862400 in words is "one hundred forty-five million, eight hundred sixty-two thousand, four hundred".