152436157217040 has 40 divisors (see below), whose sum is σ = 472552087373568. Its totient is φ = 40649641924480.

The previous prime is 152436157217033. The next prime is 152436157217053. The reversal of 152436157217040 is 40712751634251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 317575327296 + ... + 317575327775.

Almost surely, 2^{152436157217040} is an apocalyptic number.

152436157217040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152436157217040 is an abundant number, since it is smaller than the sum of its proper divisors (320115930156528).

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

152436157217040 is a wasteful number, since it uses less digits than its factorization.

152436157217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635150655087 (or 635150655081 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 152436157217040 in words is "one hundred fifty-two trillion, four hundred thirty-six billion, one hundred fifty-seven million, two hundred seventeen thousand, forty".