152949497400 has 1152 divisors, whose sum is σ = 648333504000. Its totient is φ = 32763709440.

The previous prime is 152949497399. The next prime is 152949497411. The reversal of 152949497400 is 4794949251.

152949497400 is a `hidden beast` number, since 1 + 5 + 29 + 494 + 97 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 365034391 + ... + 365034809.

It is an arithmetic number, because the mean of its divisors is an integer number (562789500).

Almost surely, 2^152949497400 is an apocalyptic number.

152949497400 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 152949497400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752000).

152949497400 is an abundant number, since it is smaller than the sum of its proper divisors (495384006600).

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

152949497400 is a wasteful number, since it uses less digits than its factorization.

152949497400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 152949497400 in words is "one hundred fifty-two billion, nine hundred forty-nine million, four hundred ninety-seven thousand, four hundred".