155145507552000 has 3456 divisors, whose sum is σ = 695603091456000. Its totient is φ = 33115557888000.

The previous prime is 155145507551891. The next prime is 155145507552011. The reversal of 155145507552000 is 255705541551.

155145507552000 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 4 + 5 + 50 + 75 + 520 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88806815127 + ... + 88806816873.

Almost surely, 2^{155145507552000} is an apocalyptic number.

155145507552000 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 155145507552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347801545728000).

155145507552000 is an abundant number, since it is smaller than the sum of its proper divisors (540457583904000).

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

155145507552000 is a wasteful number, since it uses less digits than its factorization.

155145507552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 875000, while the sum is 45.

The spelling of 155145507552000 in words is "one hundred fifty-five trillion, one hundred forty-five billion, five hundred seven million, five hundred fifty-two thousand".