145137938400 has 1440 divisors, whose sum is σ = 659770771968. Its totient is φ = 30233088000.

The previous prime is 145137938389. The next prime is 145137938483. The reversal of 145137938400 is 4839731541.

145137938400 is a `hidden beast` number, since 1 + 4 + 513 + 7 + 93 + 8 + 40 + 0 = 666.

145137938400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 890416719 + ... + 890416881.

Almost surely, 2^145137938400 is an apocalyptic number.

145137938400 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 145137938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329885385984).

145137938400 is an abundant number, since it is smaller than the sum of its proper divisors (514632833568).

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

145137938400 is a wasteful number, since it uses less digits than its factorization.

145137938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 145137938400 in words is "one hundred forty-five billion, one hundred thirty-seven million, nine hundred thirty-eight thousand, four hundred".