153416362101072 has 240 divisors, whose sum is σ = 462894113005632. Its totient is φ = 43656237219840.

The previous prime is 153416362101071. The next prime is 153416362101091. The reversal of 153416362101072 is 270101263614351.

It is a happy number.

It is a super-3 number, since 3×153416362101072³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153416362101071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356141183 + ... + 5356169825.

Almost surely, 2^{153416362101072} is an apocalyptic number.

153416362101072 is a gapful number since it is divisible by the number (12) 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 153416362101072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231447056502816).

153416362101072 is an abundant number, since it is smaller than the sum of its proper divisors (309477750904560).

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

153416362101072 is a wasteful number, since it uses less digits than its factorization.

153416362101072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37786 (or 37773 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 153416362101072 in words is "one hundred fifty-three trillion, four hundred sixteen billion, three hundred sixty-two million, one hundred one thousand, seventy-two".