145375091400 has 1152 divisors, whose sum is σ = 613728576000. Its totient is φ = 28062720000.

The previous prime is 145375091399. The next prime is 145375091431. The reversal of 145375091400 is 4190573541.

It is a super-2 number, since 2×145375091400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 362531200 + ... + 362531600.

It is an arithmetic number, because the mean of its divisors is an integer number (532750500).

Almost surely, 2^145375091400 is an apocalyptic number.

145375091400 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 145375091400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306864288000).

145375091400 is an abundant number, since it is smaller than the sum of its proper divisors (468353484600).

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

145375091400 is a wasteful number, since it uses less digits than its factorization.

145375091400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 145375091400 in words is "one hundred forty-five billion, three hundred seventy-five million, ninety-one thousand, four hundred".