152765573400 has 864 divisors, whose sum is σ = 615159846000. Its totient is φ = 34812518400.

The previous prime is 152765573381. The next prime is 152765573407. The reversal of 152765573400 is 4375567251.

It is a happy number.

152765573400 is a `hidden beast` number, since 1 + 5 + 2 + 76 + 5 + 573 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152765573407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 188832196 + ... + 188833004.

Almost surely, 2^152765573400 is an apocalyptic number.

152765573400 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 152765573400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307579923000).

152765573400 is an abundant number, since it is smaller than the sum of its proper divisors (462394272600).

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

152765573400 is a wasteful number, since it uses less digits than its factorization.

152765573400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 152765573400 in words is "one hundred fifty-two billion, seven hundred sixty-five million, five hundred seventy-three thousand, four hundred".